Question

Solve this system of linear equations. separate x and y values with a comma.

Answer 1

Answer:

1, 1

(x is equal to 1 and y is equal to 1)

Step-by-step explanation:

System:

{ -9x + 2y= -7

{ -12x + 3y= -9​

Getting a single x value:

[Given] -9x + 2y= -7

[Add 9x + 7 to both sides & then flip the equation] 9x = 2y + 7

[Divide both sides of the equation by 9] x = $\frac{2}{9}$y + $\frac{7}{9}$

Solving for y by plugging-in our x:

[Equation] -12x + 3y= -9​

[Plug-in] -12($\frac{2}{9}$y + $\frac{7}{9}$) + 3($\frac{2}{9}$y + $\frac{7}{9}$) = -9​

[Distribute -12 and 3]  $\frac{-24y}{9}$ + $\frac{-84}{9}$ + $\frac{6y}{9}$ + $\frac{21}{9}$ = -9​

[Multiply both sides of the equation by 9] -24y -84 + 6y + 21 = -81

[Combine like terms & add 63 to both sides] -18y = -18

[Divide both sides by -18] y = 1

Solve for x by plugging-in y,

[Given] -9x + 2y= -7

[Plug-in] -9x + 2(1) = -7

[Multiply] -9x + 2 = -7

[Subtract 2 from both sides] -9x = -9

[Divide both sides by -9] x = 1

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather