Answer:
y = 3 and x = - 5
Step-by-step explanation:
(a)
[tex]\frac{5-7y}{2+4y}[/tex] = [tex]\frac{-8}{7}[/tex] ( cross- multiply )
- 8(2 + 4y) = 7(5 - 7y) ← distribute parenthesis on both sides
- 16 - 32y = 35 - 49y ( add 49y to both sides )
- 16 + 17y = 35 ( add 16 to both sides )
17y = 51 ( divide both sides by 17 )
y = 3
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(b)
x + 7 - [tex]\frac{8x}{3}[/tex] = [tex]\frac{17}{6}[/tex] - [tex]\frac{5x}{2}[/tex]
Multiply through by 6 to clear the fractions
6x + 42 - 16x = 17 - 15x
42 - 10x = 17 - 15x ( add 15x to both sides )
42 + 5x = 17 ( subtract 42 from both sides )
5x = - 25 ( divide both sides by 5 )
x = - 5
