Question

Use the substitution method to solve the system of equation.choose the correct ordered pair. 3x- y=3 y=2x +2 A. (2,6 ) B. (5,12 ) C. (4,10 ) D. (3,8 )

Answer 1

B: (5, 12)

Explanation:

Find the solution of the following system of linear equations:

3x- y=3

y=2x +2

Note that the 2nd equation has already been solved for y. Thus, subbing 2x + 2 for y in the 1st equation is the way to go:

3x - (2x + 2) = 3.

Simplifying, 3x - 2x - 2 = 3, and so x = 3 + 2 = 5.

Subbing 5 for x in the 2nd equation yields y = 2(5) + 2, or y = 12.

The solution is B: (5, 12)