Question 10 of 211 pointuse the elimination method to solve the system of equations. choose thecorrect ordered pair.10x +2y = 643x - 4y = -36a. (4,12)b. (-3, 11)c. (2,10)d. (-5, 8)

ANSWER

A. (4,12)

EXPLANATION

The equations are:

and

To eliminate a variable we make the coefficients of that variable the same in both equations.

It is easier to eliminate x.

We multiply the first equation by 2 to get:

We add equations (2) and (3).

Divide both sides by 23

Put x=4 into equation (1).

The solution is (4,12)

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.