Question

Solve the system by Elimination.
y = -2x + 3 and 3y = 2x - 19

Answer 1

x = 3.5 and y = -4

Explanation:

Solve by elimination by adding the two equations together:

y = -2x + 3

3y = 2x - 19

Add like terms, which will eliminate the x values:

4y = -16

Divide each side by 4:

y = -4

Plug in -4 as y into one of the equations, and solve for x:

y = -2x + 3

-4 = -2x + 3

-7 = -2x

3.5 = x

So, x = 3.5 and y = -4