Question

A system of equations is shown below:

y = 3x − 7
y = 2x + 1

What is the solution to the system of equations?

(8, 17)
(−8, 17)
(−8, −17)
(8, −17)

Answer 1

(8, 17)

Explanation:

y= 3x -7 -----(1)

y= 2x +1 -----(2)

Substitute (1) into (2):

3x -7= 2x +1

Being x terms to one side, constant to the other:

3x -2x= 7 +1

x= 8

Substitute x= 8 into (2):

y= 2(8) +1

y= 16 +1

y= 17

∴ The solution is (8, 17).