Question

Solving system of linear equations y-x=3x+2
2x+2y=14-y

Answer 1

Using elimination method:

Add the two equations to eliminate the y variable: y-x=3x+2 + 2x+2y=14-y

This gives 3x=14-3 or x = (14-3)/3 = 11/3

Substitute this value of x into one of the original equations, for example the first one: y-x=3x+2

We get y-(11/3) = 3(11/3) +2

Solving for y we get y = (11/3) +2

Therefore, the solution to the system of equations is x = 11/3 and y = (11/3) + 2