Question

Solve the system by substitution or elimination.
y = 2x+8
y = 3x - 1

Answer 1

Substitute (3x - 1) for y in the first equation

3x - 1 = 2x + 8

x - 1 = 8 - subtract 2x from each side

x = 9 - add 1 to each side


Substitute 9 in for x in one of the equations

y = 2x + 8
y = 2(9) + 8
y = 18 + 8
y = 26

Check
y = 3x - 1
26 = 3(9) -1
26 = 27 - 1
26 = 26