Question

Solving system of equations by substitution. how do I find the answer for2x+y=104x+5y =2

Answer 1

x=8 and y=-6

Step-by-step explanation:

Given the system of equations:

`\begin{gathered} 2x+y=10 \\ 4x+5y=2​ \end{gathered}`

Make y the subject of the first equation:

`y=10-2x`

Substitute y=10-2x into the second equation:

`\begin{gathered} 4x+5(10-2x)=2​ \\ 4x+50-10x=2​ \\ -6x=2-50 \\ -6x=-48 \\ x=(-48)/(-6) \\ x=8 \end{gathered}`

Recall that y=10-2x

`\begin{gathered} y=10-2x \\ =10-2(8) \\ =10-16 \\ y=-6 \end{gathered}`

The solution to the system of equations is : x=8 and y=-6