Answer:
a = 15, b = -14
Step-by-step explanation:
From the question,
a/5 - b/2 = 10
Multiply all through by 10
(a/5)10 - (b/2)10 = 10×10
2a - 5b = 100...................... Equation 1
a - b = 29 ........................ Equation 2
Solving equation(1 ) and equation (2) simultaneously
using elimination method,
multiply equation (2) by 2.
2a - 2b = 58.................... Equation 3
Substract equation 3 from equation 1
2a - 2a -5b-(-2b) = 100-58
0 - 5b+2b = 42
-3b = 42
b = 42/-3
b = -14.
Substitute the value of b into equation 2
a - (-14) = 29
a +14 = 29
collect like terms
a = 29-14
a = 15.
Hence, a = 15, b =-14
