Answer
a = 4
b = -1
Explanation
Two equations are given
2a + 3b = 5 .......equation 1
b = a - 5 ........equation 2
To solve this, we just substitute the expression given for b in equation 2 into equation 1
2a + 3b = 5
b = a - 5
2a + 3(a - 5) = 5
2a + 3a - 15 = 5
5a - 15 = 5
Add 15 to both sides
5a - 15 + 15 = 5 + 15
5a = 20
Divide both sides by 5
(5a/5) = (20/5)
a = 4
Recall that
b = a - 5
b = 4 - 5 = -1
Therefore, a = 4 and b = -1a
Hope this Helps!!!