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
