y=-3x + 10
y = -2x + 6
Substitution method

Answers

Answer 1

Answer:

x=4 and y=−2

Step-by-step explanation:

y=−3x+10;y=−2x+6

Step: Solve y=−3x+10for y:

Step: Substitute−3x+10foryiny=−2x+6:

y=−2x+6

−3x+10=−2x+6

−3x+10+2x=−2x+6+2x(Add 2x to both sides)

−x+10=6

−x+10+−10=6+−10(Add -10 to both sides)

−x=−4

-x/-1 = -4/-1 (Divide both sides by -1)

x=4

Step: Substitute4forxiny=−3x+10:

y=−3x+10

y=(−3)(4)+10

y=−2(Simplify both sides of the equation)

Answer 2

Answer:

Solution is the point (4, -2)

Step-by-step explanation:

use the expression for y from the first equation in the second equation:

then the equation y = - 2 x + 6 becomes:

- 3 x + 10 = - 2 x + 6

add 3 x to both sides

10 = 3 x - 2 x + 6

10 = x + 6

subtract 6 from both sides

x = 4

Now replace x with 4 in the first equation to find y:

y = - 3 x + 10 = - 3 (4) + 10 = - 12 + 10 = -2

Therefore this is the point solution to the system:

(4, -2)


Related Questions

hellpp fast please a​

Answers

Answer:

C. 3x+30

Step-by-step explanation:

5(2x+6)-7x can be rewritten as

10x+30-7x which can be simplified as

3x+30

a number divided by the sum of 4 and 7

Answers

Answer:11

Step-by-step explanation:

Answer:

11/ 4 + 7 = 11/11 = 1?

Step-by-step explanation:

factorise xsquared - 9

Answers

Answer:

( x - 3) (x + 3)

Step-by-step explanation:

by factorizing and putting the formula

On average, Gil reads 57 pages in a book each week.
How many pages des Gil read in 12 weeks?

Answers

Answer:

684

Step-by-step explanation:

57 times 12

12 weeks times 57 pages= 684 pages in 12 weeks

How many ways can a committee of 2 be selected from a club with 12 members?
Select one:
a. 132
О O
b. 33
О O
c. 2
d. 66
O

Answers

66

have a good day :)
12 C 2 = 66 so the answer is D
the C means combination cuz the order doesn’t matter

Points
What conclusion can Ms. Andrews make about the performance of her first- and second-period
classes?
A The first-period class had a higher median score than the second-period class,
B. The second-period class scores had a higher mean than the first-period class scores,
The first-period class scores had a greater range than the second-period class scores,
The second-period class scores had a greater range than the first-period class scores,
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10:29

Answers

Answer:

Step-by-step explanation:

Itd be a

R+6> 13 solving one step inequalities

Answers

Answer:

R > 7

Step-by-step explanation:

R+6> 13   (subtract 6 from both sides)

R > 13 - 6

R > 7

Use the given parallelogram to find the length of side AB. A parallelogram has vertices A B C D. Side A B is labeled x plus 3, and side C D is labeled 2 x minus 6. (1 point) 6 8 9 12

Answers

Answer:

c

Step-by-step explanation:

i an smart

1.5(x+4)-3=4.5(x-2)?

Answers

Answer:

x=4

Step-by-step explanation:

Given:
9a - 3b + c = -15
a-b+c= -3
4a + 2b + c = 5
Which of the following are points on the graph of the quadratic function (choose all correct answers)
(-1, -3)
(-3,-15)
(9-3)
(2,5)

Answers

Quadruple check is so cute and I love it soro much I love it solo much and

6=2u + 42 + 2u
solve for u​

Answers

Answer:

u = -9

Step-by-step explanation:

Answer:

u=-9

Step-by-step explanation:

2u+2u=4u

6-42=-36

-36/4

-9

Solve the system of linear equations using multiplication.

−4x + 3y = −9
5x − 2y = 48
The solution is_____

PLEASE SHOW WORK

Answers

Answer:

The solution is (18,21)

Step-by-step explanation:

The picture shows the steps.

Hope this helps!!!

Given a right triangle, find the length of the missing leg given the hypotenuse is 13 cm and the other leg is 5 cm. (Round to two decimal places.)

Answers

Answer:
The length of the missing leg is 12 cm.

Explanation:

a² + b² = c² (Pythagoras theorem)

c is the hypotenuse (longest length) of a triangle.

a and b are the two other side of the triangle excluding the longest one.


Let x cm be the length of the missing leg of the right triangle.

x² + 5² = 13² (Pyth. Thm.)

x² = 13² - 5²

x² = 169 - 25

x² = 144

x = √144

x = 12

Hope it helps! Mark me brainliest if it’s correct.

The length of the missing leg given the hypotenuse is 13 cm and the other leg is 5 cm would be 12 cm.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

a² + b² = c² (Pythagoras theorem)

where, c is the hypotenuse (longest length) of a triangle.

And a and b are the two other side of the triangle excluding the longest one.

Let x be the length of the missing leg of the given right triangle.

x² + 5² = 13²

x² = 13² - 5²

x² = 169 - 25

x² = 144

x = √144

x = 12

Hence,  the length of the missing leg given the hypotenuse is 13 cm and the other leg is 5 cm would be 12 cm.

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2

if you have two whole cakes one round and one square are they both the same.​

Answers

Answer:

depend if one cake is 25 ounces and the other is 23 they are not the same, just bc one is square and one is circle does not mean they came be the same it just depends on the weight or size ig

4.35 = a + 3.25 * help

Answers

Answer:

4.35 - 3.25= 1.1

A = 1.1

Step-by-step explanation:

I need help asappp!!!

Answers

Answer:

the first blank is corresponding and the second blank is 105.

Step-by-step explanation:

Hope This Helps!!

(brainliest please if possible)

Please help
9(2+17)+13z=17

Answers

Answer:

9(19)+13z=17

171+13z=17

13z=171-17

Z=154/13 is the answer

Step-by-step explanation:

Pls mark me in brain list

Answer:

z = -154/13

Step-by-step explanation:

1.) Add the numbers

9(2+17)+13=17

9(19) = 13z = 17

2.) Multiply the numbers

9 x 19 + 13z = 17

171 + 13z = 17

3.) Rearrange terms

171 + 13z = 17

13z + 171 = 17

4.) Subtract 171 from both sides of the equation

13z + 171 = 17

13z + 171 - 171 = 17 - 171

5.) Simplify

Subtract the numbersSubtract the numbers

13z = -154

Solution

z = -154/13

Can someone please help me with this? I need it done ASAP! Will mark brainliest. Random answers will be reported.

Answers

Answer:

(-5, 8)

Step-by-step explanation:

P(4, -3) → P'(-1, 5)

Find the difference:

-1 - 4 = -5 for x5 - (-3) = 8 for y

The translation rule is:

(x, y) → (x + (-5)), (y + 8)

Answer:

(-5, 8)

Step-by-step explanation:

The sum of 2 consecutive integers is -9. find the numbers.

Answers

Answer:

-4, -5

Step-by-step explanation:

-4+-5=-9

Can some do me a huge favor and help me out with this math question. I suck at math. I’m better at reading. I would be really grateful ❤️

Answers

Answer:

192.

Step-by-step explanation:

Since it is length x width x height, I would do 6 x 2 first since that's easier. So, 16 x 12 is 192.

Determine if the given point satisfies either equations and is a solution of the system of inequalities

4y-23x _5x-11

The rest see it on the photo

Answers

Answer:

(0,0) satisfies 4y - 23x < 9

(0,0) satisfies 5/2y > 5x -11

The point (0,0) is a solution of the system.

Step-by-step explanation:

Find X
put step by step please

Answers

Answer:

x = 29.7 or 29.69848480

Step-by-step explanation:

Use the formula a² + b² = c²

21² = 441

20² = 400

400 + 441 = 882

√882 = 29.7

You square the number at the end to cancel out the squared number, since both 21 and 20 aren't originally squared.

Which of the following is equivalent to the complex number i^34 ?
Choose 1 answer:
А
1
B I
C
-1
D
-I

Answers

Given:

The complex number is [tex]i^{34}[/tex].

To find:

The value of given complex number.

Solution:

We have,

[tex]i^{34}[/tex]

It can be written as

[tex]i^{34}=i^{32+2}[/tex]

Using properties of exponents, we get

[tex]i^{34}=i^{32}i^{2}[/tex]            [tex][\because a^{m+n}=a^ma^n][/tex]

[tex]i^{34}=i^{4\times 8}i^{2}[/tex]

[tex]i^{34}=(i^4)^8i^{2}[/tex]            [tex][\because (a^{m})^n=a^{mn}][/tex]

We know that, [tex]i^4=1,i^2=-1[/tex].

[tex]i^{34}=(1)^8(-1)[/tex]

[tex]i^{34}=(1)(-1)[/tex]

[tex]i^{34}=-1[/tex]

The value of [tex]i^{34}[/tex] is -1. Therefore, the correct option is C.

I have 30 glasses each hold 1 1/3 do I have enough glasses if I have 50 cup of fruit punch bowl

Answers

Answer:

No you do not

Step-by-step explanation:

If you divide 50 by 1 1/3 you 37.5 which you you have 30 glasses so you do not have enough

8
While at work, Nina checks her email once every 80
minutes. In her 8-hour work shift, how many times
does she check her email?

Answers

Answer:

8 i think

Step-by-step explanation:

If a six-sided die is rolled 5 times, what is the probability of rolling numbers less than 3 ?

Answers

Distributions of probabilities help to model our world, allowing us to estimate the likelihood of a said event or to approximate the variability of incidence. It is a common way of describing the probability of an event as well as possibly forecasting it, and the further calculation can be defined as follows:

The possibility of rolling a six on a 6-sided die is [tex]\frac{1}{6}[/tex]. There are

Three 6's are therefore [tex]\binom{1}{6}^3[/tex] likely to roll.

The probability that you don't roll a 6 is [tex]\binom{5}{6}[/tex] and you are not 6 double the record is[tex]\binom{5}{6}^2[/tex].

In 5 tests, there are 10 different ways [tex]\binom{5}{3}=10[/tex] to rolle three 6s.

Then we all have together:

[tex]\to 10 \times \binom{1}{6}^3 \times \binom{5}{6}^2 \approx 0.0322[/tex]

Therefore, the final answer is "0.0322".

Learn more:

brainly.com/question/2901618

Solve:

p + 6 = 23
A. p = 17
B. p = 14
C. p = 13
D. p = 12

Answers

Answer:

A) 17

Step-by-step explanation:

p=23-6

p=17

Hope I helped!

Answer:

A

Step-by-step explanation:

I WILL GIVE BRAINLIEST FOR CORRECT ANSWER. Explain how to use the distributive property to find the product (3) ( 4 1/5 ) .

Answers

Answer:

3x4 then you do 3x1/5 because youre distibuting to all numbers in this case multiplecation

Step-by-step explanation:

hari purchased a camera for rs 1560 and sold ot at 5% loss. find hos loss amount​

Answers

Answer:

[tex]SP = 1482[/tex]

Step-by-step explanation:

Given

[tex]CP = Rs. 1560[/tex] --- Cost Price

[tex]Loss = 5\%[/tex]

Required

Determine the selling price (SP)

This is calculated using:

[tex]\%Loss =\frac{CP - SP}{CP} * 100\%[/tex]

So, we have:

[tex]5\% = \frac{1560 - SP}{1560} * 100\%[/tex]

[tex]5 = \frac{1560 - SP}{1560} * 100[/tex]

Multiply through by 1560

[tex]1560 * 5 = \frac{1560 - SP}{1560} * 100*1560[/tex]

[tex]1560 * 5 = (1560 - SP) * 100[/tex]

[tex]1560 * 5 = 1560 * 100- SP * 100[/tex]

[tex]7800 = 156000- 100SP[/tex]

Collect Like Terms

[tex]100SP= 156000- 7800[/tex]

[tex]100SP= 148200[/tex]

Make SP the subject

[tex]SP = \frac{148200}{100}[/tex]

[tex]SP = 1482[/tex]

The selling price is Rs. 1482

In an isosceles triangle the base angles are both 32 degrees, find the vertex

Answers

Answer:

116 deg

Step-by-step explanation:

note that an isoceles triangle always have 2 base angles that are equal.

Here we are already given one base angle of 32 deg. It follows that the other base angle must also be 32 deg.

We now have 2 angles of a triangle and we need to find the remaining one. Also recall that all 3 internal angles of a triangle sum to 180 deg. if we let the missing angle be x, then:

base angle + base angle + vertex angle = 180°

or,

32° + 32° + x° = 180°

64° + x = 180 deg

x = 180 - 64

x = 116 deg

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