9x - 6y = -21 and 6x - 12y = -6 How would I solve by substitution?

Answer:

(-3,-1)

Step-by-step explanation:

6x-12y=-6

6x=12y-6

x=2y-1

9(2y-1)-6y= -21

18y-9-6y=-21

12y= -12

y=-1

6x-12(-1)=-6

6x+12= -6

6x=-18

x=-3

Answer:

x = -3 ; y = -1

Step-by-step explanation:

Let 9x - 6y = -21 be eqn.1 & let 6x - 12y = -6 be eqn.2 .

Lets find the value of x from eqn.1

[tex]9x - 6y= -21[/tex]

[tex]=> 3(3x - 2y) = -21[/tex]

[tex]=> 3x - 2y = \frac{-21}{3} = -7[/tex]

[tex]=> x = \frac{2y - 7}{3}[/tex]

Now , lets put the value of x (which we got from eqn.1) in eqn.2 :-

[tex]6x - 12y = -6[/tex]

[tex]=> 6(x - 2y) = -6[/tex]

[tex]=> x - 2y = \frac{-6}{6} = -1[/tex]

(Putting x here)

[tex]=> \frac{2y - 7}{3} - 2y = -1[/tex]

[tex]=> \frac{2y - 7 - 6x}{3} = - 1[/tex]

[tex]=> -4 y - 7 = -1 \times 3 = -3[/tex]

[tex]=> -4y = 7 - 3 = 4[/tex]

[tex]=> y = \frac{-4}{4} = -1[/tex]

Now , lets find the value of x.

[tex]x = \frac{2y - 7}{3}[/tex]

Putting y = -0.5 gives ,

[tex]x = \frac{[2 \times (-1)] - 7}{3}[/tex]

[tex]=> x = \frac{-2 - 7}{3} = \frac{-9}{3} = -3[/tex]

Mya and ERIC WORK IN A BAKERY . MYA HAS 3 TIMEA AS MUCH FLOUR AS ERIC .MYA HAS 15.81LB OF FLOUR .USE THE EQUATION 3F = 15.81 TO FIND HOW MUCH FLOUR ERIC HAS .

Use the figure to select another name for ∠9 . Select all that apply.

Robin’s fiancé bought her a $4500 wedding ring from the Shane Company. It is now worth $5400. What is the percent of increase?

I need help with a question that has to do with Ratio and Proportion. I want to know how to do it, not just only the answer.

If julie makes 18 baskets, how many baskets does Kari make? How many baskets do they make in all?

If annie has 8 apples and eren has 927 ore apples then annie, how much apples does eren have?

Help plssssssssssssssssss

9. At Ethan's tree Farm, the taller trees are braced by wires that extend 2 feet below the top of a tree, to a stake
in the ground. What is the tallest tree that can be braced with a 25-foot wire staked 15 feet from the base of the tree?

16+x=-34

Solve the equation for the value of the variable show all work help please:):)

Umm what do I do here?

Find the slope of the line through
the points (-2, 1) and (0,4).
Asap taking a test!!!

If x = ─7 and y= 3 , find i) x+y ii) xy iii) xꓥ2 + yꓥ2 WHAT IS THE ANSWER

What is the volume of the rectangular prism?
Help please

Carpet costs $21.95 per square yard and the padding to put under it costs $2.55 per square yard. Felix plans to install padding and carpet in the region shown in the figure. What is the total cost of the carpet and padding needed to exactly cover the room?

Mya’s roof was leaking, so she needed money fast. She borrowed $12,000 from the bank for repairs. It is a 5-year loan, and she is being charged simple annual interest at a rate of 7.5%. How much interest can Mya expect to pay over the life of this loan?

SOMEONE HELP MEH...

Tonya has 5/9 yards of ribbon and is sharing it with Terri by cutting it in half. How much ribbon will each girl have?

Group of answer choices

1_1/9

5/9

5/18

45

Find a coordinates of the midpoint of the line segment with the given endpoints (7,4), (9,-1)

Given the table, how can you use a graph to find additional equivalent ratios? x y 2 3 4 6 Plot the ordered pairs (2, 3) and (4, 6). Start at (4, 6). Move right 3 and up 2, and then plot a point. Keep this same rate to get other points. Draw a line through the two given points. Any point below the line represents an equivalent ratio. Plot the ordered pairs (2, 4) and (3, 6). Start at (3, 6). Move right 2 and up 3, and then plot a point. Keep this same rate to get other points. Draw a line through the two given points. Any point on the line represents an equivalent ratio. PLSSSS I´LL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!!!!!!!!!!!!!!!!!!! IM TIMED!!!!

0
1
2
3
4
5.
6
I don’t know what I’m doing

helpppppppppppppppppppppppppppp

During crawfish season, Xavier sells crawfish for $62.50 per sack and charges a $20.00 delivery fee. Which equation best represents y, the total cost of x sacks of crawfish delivered to a customer?

A y = (62.50 + 20)x

B y = 62.50 + 20x

C y + 20 = 62.50x

D y = 62.50x + 20

Sara has 24 muffins, which he needs to box up
into dozens. How many boxes does she need?

Quick I need to finish this in 5 minutes****only fractions

Every day of the week. Jordan eams $4 per hour for delivering newspapers He also earns a weekly bonus of $14 if he arrives on time to work each day Last week Jordan arved on time to work every day and earned a total of $108 for h hours of work Based on this situation, which belongs to p in the form px + q = ? ​

-(-125) = ___


can someone answer this

I’ll give brainliest!!! Can somebody pls explain how to do these

Which of the following is not an expression? A. 5x + 6, B. 2b = 0, C. -10.6, D. 2/3t - 1/8

find the value of x in the triangle below​

What is the slope of the line?

help please asap will mark crown