Question

What is the value of a in the

solution to the system of
equations?
a − 3b = −5
3a + 2b = 5

a. 5/3
b. -2
c. -3/5
d. 1

Answer 1

5/11, 20/11

Explanation:

a − 3b = −5

-3b = -a - 5

b = 1/3a + 5/3

3a + 2(1/3a + 5/3) = 5

3a + 2/3a + 10/3 = 5

11/3a + 10/3 = 5

11/3a = 5/3

a = 5/11

a - 3b = -5

5/11 - 3b = -5

-3b = -60/11

b = 20/11