Question

Solve using substitution methody= -5x + 2y= -10x + 7

Answer 1

(1, -3)

Step-by-step explanation

Since we have y in function of x in both equations, we can replace the first equation into the second and solve for x:

`\begin{gathered} -5x+2=-10x+7 \\ -5x+10x=7-2 \\ 5x=5 \\ x=1 \end{gathered}`

And then replace x = 1 into one of the equations to find the value of y:

`\begin{gathered} y=-5x+2 \\ y=-5\cdot1+2 \\ y=-5+2 \\ y=-3 \end{gathered}`

The solution is (1, -3)