Question

Solve the following system of equation using substitution4x + 2y = 10x - y= 13What is the solution for y?

Answer 1

y = -7

Step-by-step explanation

To solve using the substitution method we have to clear x from one of the equations as a function of y. For example, for equation 2:

`x=13+y`

Then replace x in the first equation by this expression:

`4(13+y)+2y=10`

And solve for y:

`\begin{gathered} 4\cdot13+4y+2y=10 \\ 52+6y=10 \\ 6y=10-52 \\ 6y=-42 \\ y=(-42)/(6) \\ y=-7 \end{gathered}`