Answer:
a = 3 , b = - 2
Explanation:
5a + b = 17 → (1)
3a + 2b = 5 → (2)
multiplying (1) by 2 and adding to (2) will eliminate b
10a + 2b = 34 → (3)
add (2) and (3) term by term to eliminate b
13a + 0 = 39
13a = 39 ( divide both sides by 13 )
a = 3
substitute a = 3 into either of the 2 equations and solve for b
substituting into (1)
5(3) + b = 17
15 - b = 17 ( subtract 15 from both sides )
- b = 2 ( multiply both sides by - 1 )
b = - 2
then solution is a = 3 , b = - 2