Question

Solve the system below using elimination {5x+9y= -10} {7x+10y= -1}

Answer 1

∑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:

$\begin{bmatrix}5x+9y=-10\\ 7x+10y=-1\end{bmatrix}$

Isolate x ( 5x + 9y = -10 ) : $\mathrm{x=\frac{-10-9y}{5}}$

Substitute: $\mathrm{x=\frac{-10-9y}{5}}$

$\begin{bmatrix}7\cdot \frac{-10-9y}{5}+10y=-1\end{bmatrix}$

$\begin{bmatrix}\frac{-70-13y}{5}=-1\end{bmatrix}$

Isolate y : $\frac{-70-13y}{5}=1:y=-5$

Substitute: $y=-5$

$x=\frac{-10-9\left(-5\right)}{5}=7$

Hence, $x=7$

Therefore, the solution for $\begin{bmatrix}5x+9y=-10\\ 7x+10y=-1\end{bmatrix}$ are:

$x=7,\:y=-5$

xcookiex12

8/19/2022