Answer:
(28, 3 )
Step-by-step explanation:
[tex]\frac{1}{5}[/tex] x - 2y = - [tex]\frac{2}{5}[/tex] ( multiply through by 5 to clear the fractions )
x - 10y = - 2 → (1)
[tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{3}[/tex] y = 8 ( multiply through by 12 to clear the fractions )
3x + 4y = 96 → (2)
add 10y to both sides in (1)
x = 10y - 2 → (3)
Substitute x = 10y - 2 into (2)
3(10y - 2) + 4y = 96
30y - 6 + 4y = 96
34y - 6 = 96 ( add 6 to both sides )
34y = 102 ( divide both sides by 34 )
y = 3
Substitute y = 3 into (3)
x = 10(3) - 2 = 30 - 2 = 28
solution is (28, 3 )
