Question

Please help me get through this.

Answer 1

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

$\frac{2 - 2x}{1 - 2x} = 8$

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

$\frac{4y - 4}{-2y - 3}$ = $\frac{1}{5}$

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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