The value of x in the first question is 3/7.
The value of y in the second question is 17/22
For the first equation given, the first step is to simplify the numbers in the numerator
5(1 - x) + 3(1 +x)
5 - 5x + 3 + 3x
2 - 2x
The equation becomes
[tex]\frac{2 - 2x}{1 - 2x} = 8[/tex]
Cross multiply
2 - 2x = 8(1 - 2x)
2 - 2x = 8 -16x
Combine similar terms
16x - 2x = 8 - 2
14x = 6
Divide both sides of the equation by 14
x = 6/14
x = 3/7
The second question
The first step is to simplify the terms in the numerator by combining similar terms
y - 4 + 3y
4y - 4
The second step is to simplify the terms in the denominator by combining similar terms
2y - 3 - 4y
-2y - 3
The equation becomes
[tex]\frac{4y - 4}{-2y - 3}[/tex] = [tex]\frac{1}{5}[/tex]
Cross multiply
20y - 20 = -2y - 3
Combine similar terms
20y + 2y = 20 - 3
22y = 17
Divide both sides of the equation by y
y = 17/22
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