Question

4x + y = 93х – 5у = -22

Answer 1

(1, 5).

Step-by-step explanation:

Given the system of equations:

`\begin{gathered} 4x+y=9 \\ 3х-5у=-22 \end{gathered}`

Make y the subject in the first equation:

`y=9-4x`

Substitute y=9-4x into the second equation:

`\begin{gathered} 3x-5y=-22 \\ 3x-5(9-4x)=-22 \\ 3x-45+20x=-22 \\ 3x+20x=-22+45 \\ 23x=23 \\ x=(23)/(23) \\ x=1 \end{gathered}`

Next, we solve for y:

`\begin{gathered} y=9-4x \\ =9-4(1) \\ y=5 \end{gathered}`

The solution to the system of equations is (1, 5).