Question

What’s the solution to this system of equations

Answer 1

Given the system of equations:


`y=x-1 \\ y=-2x+5`

We solve the system as follows:

Step 1: Since both equations are in terms of y, we equate both equations to get:


`x-1=-2x+5`

Next, we collect like terms, and solve for x, to get:


`x+2x=5+1 \\ \\ 3x=6 \\ \\ x= (6)/(3) =2`

Next, we substitute for x into any of the previous eguations, substituting for x into the first equation, we get:


`y=2-1=1`

Therefore, the solution to the system of equations is (2, 1)