Question

1. A system of equations is shown below. Find the solution by using substitution.

y = 3x - 2
y = x + 2

Answer 1

x = 2

y = 4

or (2 , 4)

Explanation:

Since both equations are equal to y we can substitute one of the equations to fill in the spot of y so that both equations are equal to each other with no y variable.

`3x-2 = x+2\\`

Now we can solve x.

`3x= x+4\\`

`2x = 4\\`

x = 2

Now that we have solved for one variable we can plug this back into either equation and solve for y.

`y = 2 + 2\\`

y = 4