Question

Solve the following system of equations by linear combination:
3x + 2y = 7
5x – 4y = 19

A. The solution is (3, –1).

B. The solution is (5, 1).

C. There is no solution.

D. There are an infinite number of solutions.

Answer 1

2(3x + 2y = 7)
5x - 4y = 19

6x + 4y = 14
5x - 4y = 19

11x = 33
x = 33/11
x = 3

Answer 2

Substituting that for either equation, we have:

3(3) + 2y = 7
9 + 2y = 7
2y = -2
y = -1

Answer 3

I hope this helps !