Question

Solve the system below using substution
{2x-3y= -11}
{2x+y=9}

Answer 1

∑Hey , jillianwagler ⊃

Answer:

x=2,y=5

Explanation:

Given:

Solve the system below using substution

{2x-3y= -11}

{2x+y=9}

Solution~:

`\begin{bmatrix}2x-3y=-11\\ 2x+y=9\end{bmatrix}`

Isolate x for 2x-3y = -11 :
`x=(-11+3y)/(2)`

Substitute
`x=(-11+3y)/(2)` to:

`\begin{bmatrix}2\cdot (-11+3y)/(2)+y=9\end{bmatrix}`

=
`\begin{bmatrix}-11+4y=9\end{bmatrix}`

Isolate y for -11 + 4y = 9 : y = 5

Substitute y = 5

`x=(-11+3\cdot \:5)/(2)=2`

x = 2

Hence, the solutions for
`\begin{bmatrix}2x-3y=-11\\ 2x+y=9\end{bmatrix}` are:

`x=2,\:y=5`

xcookiex12

8/19/2022