Solve The Two Equations for x.
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Answer:
x = 7, x = 5
Step-by-step explanation:
[tex]\frac{3x+3}{8}[/tex] = 2x - 11 ( multiply both sides by 8 to clear the fraction )
3x + 3 = 16x - 88 ( subtract 3x from both sides )
3 = 13x - 88 ( add 88 to both sides )
91 = 13x ( divide both sides by 13 )
7 = x
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[tex]\frac{4x-6}{7}[/tex] = 2 ( multiply both sides by 7 )
4x - 6 = 14 ( add 6 to both sides )
4x = 20 ( divide both sides by 4 )
x = 5
3x + 3 / 8 = 2x - 11
Multiply both sides by 8
8 × ( 3x + 3 / 8 ) = 8 × ( 2x - 11 )
3x + 3 = 16x - 88
Add both sides 88
3x + 3 + 88 = 16x - 88 + 88
3x + 91 = 16x
Subtract both sides 3x
3x - 3x + 91 = 16x - 3x
91 = 13x
Divide both sides by 13
91 ÷ 13 = 13x ÷ 13
7 = x
x = 7
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4x - 6 / 7 = 2
Multiply both sides by 7
( 4x - 6 / 7 ) × 7 = 2 × 7
4x - 6 = 14
Add both sides 6
4x - 6 + 6 = 14 + 6
4x = 20
Divide both sides by 4
4x ÷ 4 = 20 ÷ 4
x = 5