Answer:
x = - 6 , y = 2
Explanation:
given the system of equations
0.06x + 0.32y = 0.28 ( multiply through by 100 to clear the decimals )
6x + 32y = 28 → (1)
0.07x - 0.08y = - 0.58 ( multiply through by 100 to clear the decimals )
7x - 8y = - 58 → (2)
multiplying (2) by 4 and adding to (1) will eliminate y
28x - 32y = - 232 → (3)
add (1) and (3) term by term to eliminate y
(6x + 28x) + (32y - 32y) = 28 - 232 , that is
34x + 0 = - 204
34x = - 204 ( divide both sides by 34 )
x = - 6
substitute x = - 6 into either of the 2 equations and solve for y
substituting into (2)
7(- 6) - 8y = - 58
- 42 - 8y = - 58 ( add 42 to both sides )
- 8y = - 16 ( divide both sides by - 8 )
y = 2
solution is x = - 6 , y = 2