solve for system of linear equations by substitution
y = 2x + 3
y = 3x + 5

Answers

Answer 1

Answer:

(- 2, - 1 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = 3x + 5 → (2)

Substitute y = 3x + 5 into (1)

3x + 5 = 2x + 3 ( subtract 2x from both sides )

x + 5 = 3 ( subtract 5 from both sides )

x = - 2

Substitute x = - 2 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 2(- 2) + 3 = - 4 + 3 = - 1

solution is (- 2, - 1 )


Related Questions

help pleaseeeeeeeeeeeew!!!!

Answers

You substitute the x and the y values from the coordinates into the equation (y=6x-2) and solve for y. Make sure whatever you do to one side of the equation you do to the other side. Simplify until your left with y= some number.

The dinning table in the kitchen has a length of 2.3 m & a width of 3 m. Find the area of a sheet that will cover the table top

Answers

Answer:

Area= 6.9m²

Step-by-step explanation:

Area= l x w

= 2.3m x 3m

= 6.9m²

help pls I have school in and hours

Answers

Answer:

2/5 = 40% 16/25 = 64% 9/25 = 36% 21/50 = 42%

Step-by-step explanation:

2 divided by 5 is .40. to make it a percentage move the decimal to the right two times. the same with the rest of the questions. numerator diveded by denominator, then move the decimal to the right 2 times. good luck hope i helped!

Please help! I will give Brainliest!
Who is correct?

Answers

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say I love you

Step-by-step explanation:

A square mirror has a perimeter of 8 ft how long is each side of the mirror

Answers

Answer:

2 ft

Step-by-step explanation:

Perimeter = 4 * sides

8 ft = 4 * s

side = 2 ft

Answer:

2 ft

Step-by-step explanation:

8/4 = 2

please help me with this problem

Answers

9.75 and 10.2 is most likely the answer because they are both in other answers

On a number line 6.64 would be located 

Answers

6.64 would be located Between 6 and 7

A cylindrical barrel has a height of 5 feet and a diameter of 4 feet. What is the approximate volume of the barrel?

Answers

Answer:

62.8 ft³

Step-by-step explanation:

Volume = π · r² · h

V = 3.14 · 2² · 5

V = 3.14 · 4 · 5

V = 62.8

Find the area of each sector. Round your answers to the nearest tenth.
A) 8.9 in
C) 4.7 in
B) 117.3 in
D) 7.1 in

Answers

The answer is A.8.9.

Fernando cleans pools for the summer for $25 an hour plus a supply fee of $15.

Which equation models the cost for having Fernando clean a pool for x hours and how much will a 3-hour cleaning cost?

A
y=(25+15)+x;43

B
y=15x+25;70

C
y=25x+15;90

D
y=(25+15)x;120

Answers

Answer:

So, the required option is (B) 15x+25 ; 70

Step-by-step explanation:

Simplify:
a+b
a-b
= [?]
a=5 and b=3

Answers

The value of the given expression will be 4.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given expression is as follows

[tex]=\dfrac{a+b}{a-b}[/tex]

a = 5 and b=3

[tex]=\dfrac{5+3}{5-3}=\dfrac{8}{2}=4[/tex]

Therefore the value of the given expression will be 4.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ2

Determine the lateral area and surface area of the given prism. Round answers to the nearest whole number.

Answers

Answer:

Lateral Area = Area of 2 triangle + Area of slant rectangle + area of back rectangle

Lateral Area = (5m)(3m) + (6m) (36m) + (3m) (36m)

LA = 15m² + 216m² + 108m²

LA = 339 m²

SA = (5m)(3m) + (6m) (36m) + (3m) (36m) + (5m)(36m)

SA = 15m² + 216m² + 108m² + 180 m²

SA = 519 m²

solve the equation for y
1/2y - 21/4 = -35/4

Answers

Answer:

[tex]1/2y - 21/4 = -35/4[/tex]

[tex]1/2y = 21/4 -35/4[/tex]

[tex]1/2y = - 7/4[/tex]

[tex]y = - \frac{7}{2} [/tex]

Determine the niinimum and maximum value of the following trigonometric
function.
f(x) = 5 cos 3x – 3

Answers

9514 1404 393

Answer:

  maximum: +2

  minimum: -8

Step-by-step explanation:

The cosine has a minimum of -1 and a maximum of +1. Then the extremes of f(x) are ...

  5(±1) -3 = -3±5 = +2, -8

The maximum of f(x) is +2; the minimum is -8.

find the surface area of a cube with side edges of 9in. show steps

Answers

Answer:

486 sq. in

Step-by-step explanation:

Find the area of one face

Area = s^2

s = 9 in

Area = 9^2

Area = 81

Area 6 sides

There are 6 sides to a cube. So if you have the area of 1 side, you need only multiply by 6 to get the area of the cube

Area = 6 * 81

Area = 486

6. Find both solutions by factoring
): 3x^2 + 10x + 7 = 0

Answers

both solutions:
x = -1, -7/3

Alex had 806 dinosaurs. There were 102 Velociraptors, 243 Tyrannosauruses, and the rest were Brontosauruses. There were twice as many eggs as dinosaurs. How many eggs does Alex have?

Answers

Answer: 1,612 eggs

Step-by-step explanation:

Alex has a total of 806 dinosaurs. He also has twice as many eggs as he does dinosaurs.

The number of eggs is therefore:

= Number of dinosaurs * 2

= 806 * 2

= 1,612 eggs

Convert 12 radians to degrees. Round your answer to the nearest tenth.

Answers

Answer:

687.5

Step-by-step explanation:

Jackie's mother's sister has a son. How would that son be related to Jackie? He is Jackie's​

Answers

Answer:

cousin

Step-by-step explanation:

because his moms sister is his aunt and if she had a kid it would be his cousin hope this help

Jackie's aunt son would be related to Jackie as her cousin.

Cousin

Cousin is referred to as the son or daughter of an uncle or aunt. Cousins are people who share a common ancestor that is at least 2 generations away, such as a grandparent or great-grandparent.

Jackie's mother's sister is Jackie's aunt. Therefore Jackie's aunt son would be related to Jackie as her cousin.

Find out more on Cousin at: https://brainly.com/question/12481514

57 divided by 592,346

Answers

Answer:

9.62 x 10⁻⁵

Step-by-step explanation:

57 / 592346 = 0.0000962275

Scientific notation: We moved the decimal 5 times to the right, and in order to put the number back in standard form, we have to move the decimal 5 times to the left. So the scientific way of saying this is 9.62 x 10⁻⁵

9.62 x 10⁻⁵ or 57 / 592346 = 0.0000962275

How to: Divide the first expression by the second expression.

Have a great day and stay safe ! srry if im wrong

4 4
Darren makes $10 per hour. Next semester, he will be
making $14 per hour. What rate of increase does this
represent? Round the answer to the nearest tenth of a
percent.
a) 28.5%
b) 40%
c) 71%
d) 60%

Answers

Answer:

40

Step-by-step explanation:

[tex]14 - 10 = 4 \\ \frac{4}{10} \times 100 = 40[/tex]

A running track has two semi-circular ends with radius 24m and two straights of length 85.9m as shown.
Calculate the total area of the track rounded to 1 DP.

Answers

Answer: 5931.8m^2

Explanation:

Explanation:

85.9 x 48 + 3.14 x 24^2
= 4123.2 + 1808.64
= 5931.8m^2

Your baby brother has an ear infection. The doctor said there are probably 50,000 bacteria in his left ear. The penicillin the doctor prescribed will kill 7% of the bacteria every hour. About how long will it take for there to be less than 25,000 bacteria?​

Answers

Answer:

Ok I'm not sure but (9 hours)

Step-by-step explanation:

50,000 divided by 25,000 = 7

7 plus 2 equals 9.

Someone plz help me I suck at doing that

Answers

Answer:

D - 4.6

Step-by-step explanation:

Hope it Helps!

:)

and sorry for the late answer

If 9:3 is equal to 3:1 and then what is 12:4 equal to ?

Answers

Answer:

36:12 or 3:1

Step-by-step explanation:

12:4= 36: 12

or 12:4 simplify= 3:1

hope it helps

Who can answer this ( see image).

Answers

9514 1404 393

Answer:

  042

Step-by-step explanation:

The first clue tells you the possibilities are ...

  6__, _8_, or __2

The second clue eliminates 6__ and tells you the possibilities are ...

  18_, _81, 1_2, 48_, _42

The third clue tells you two of the correct digits are 0 and 2, since 6 has already been eliminated by the first two clues. This only leaves 042.

042 is consistent with the last 2 clues.

The 3-digit key is 042.

what 10+10+10+10+10+10+9=

Answers

10+10+10+10+10+10+9=69

Answer:

its simple girl;;;;;

ans=69

(Ohh dear don't leave the question with this big pts!!! )

165363>×÷?2×<678if x is ಠ_ಠ​

Answers

Umm what!??? What typa answer is that

3. Mrs. Garcia's class sold bottles of lemonade for $1.36 each and Mr. Runner's class sold protein bars for $1.65 each. Together, the classes sold 79 items and earned $118.17 for their school​

Answers

Answer:

324.6

Step-by-step explanation:

because Together, the classes sold 79 items and earned $118.17 for their school​

What is the length of this leg?

Answers

the length of both legs would be 3!
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