midnighteverest84
Answered

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

-9x + 2y= -7
-12x + 3y= -9​

Sagot :

Heather

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 = [tex]\frac{2}{9}[/tex]y + [tex]\frac{7}{9}[/tex]

Solving for y by plugging-in our x:

[Equation] -12x + 3y= -9​

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

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

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