Answer:
a = 15, b = - 14
Step-by-step explanation:
Given the 2 equations
[tex]\frac{a}{5}[/tex] - [tex]\frac{b}{2}[/tex] = 10 ( multiply through by 10 to clear the fractions )
2a - 5b = 100 → (1)
a - b = 29 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the a- term
- 2a + 2b = - 58 → (3)
Add (1) and (3) term by term to eliminate a
0 - 3b = 42
- 3b = 42 ( divide both sides by - 3 )
b = - 14
Substitute b = - 14 into (2) and evaluate for a
a - (- 14) = 29
a + 14 = 29 ( subtract 14 from both sides )
a = 15
