∑Hey , jillianwagler ⊃
Answer:
x = 7, y = -5
Step-by-step explanation:
Given~:
Solve the system below using elimination
{5x+9y= -10}
{7x+10y= -1}
Solve:
[tex]\begin{bmatrix}5x+9y=-10\\ 7x+10y=-1\end{bmatrix}[/tex]
Isolate x ( 5x + 9y = -10 ) : [tex]\mathrm{x=\frac{-10-9y}{5}}[/tex]
Substitute: [tex]\mathrm{x=\frac{-10-9y}{5}}[/tex]
[tex]\begin{bmatrix}7\cdot \frac{-10-9y}{5}+10y=-1\end{bmatrix}[/tex]
[tex]\begin{bmatrix}\frac{-70-13y}{5}=-1\end{bmatrix}[/tex]
Isolate y : [tex]\frac{-70-13y}{5}=1:y=-5[/tex]
Substitute: [tex]y=-5[/tex]
[tex]x=\frac{-10-9\left(-5\right)}{5}=7[/tex]
Hence, [tex]x=7[/tex]
Therefore, the solution for [tex]\begin{bmatrix}5x+9y=-10\\ 7x+10y=-1\end{bmatrix}[/tex] are:
[tex]x=7,\:y=-5[/tex]
xcookiex12
8/19/2022
