# 7.5.7. Solving Equations

Given that , solve the equation .

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Given that , solve the equation .

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If , find the value of .

• A 7
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If , find the value of .

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• C 15
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If , find .

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If , find .

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Find the multiplicative inverse of .

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If , find .

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If is the multiplicative inverse of the number , find .

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If , find the solution set of .

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If , then the solution set of the equation in is .

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Find the solution set of the equation , given that .

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Determine the solution set of the equation , given that .

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Find the solution set of the equation , given that .

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Find the solution set of the equation , given that .

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A rectangle's length exceeds its width by cm. Given that its perimeter is cm, find its area.

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Determine the solution set of the equation , where .

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If the solution set of the equation in equals the solution set of the equation in , find .

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Find the solution set of the equation , given that .

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If , determine .

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If a person's age now is years, then his age 6 years ago was .

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The difference between two integers is 3. If the small one is, determine the other one.

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The length of a rectangle is less than four times its width by cm. Given that its perimeter equals that of a square whose side length cm, find the dimensions of the rectangle .

• Acm, cm
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• Ccm, cm
• Dcm, cm
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The length of a rectangle is less than six times its width by cm. Given that its perimeter equals that of a square whose side length cm, find the dimensions of the rectangle .

• Acm, cm
• Bcm, cm
• Ccm, cm
• Dcm, cm
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Find the solution set of the equation in .

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Determine the number which becomes 60 when it's added to its fivefold number.

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Find the three consecutive natural numbers whose sum is 420.

• A141, 143, 145
• B139, 141, 143
• C139, 140, 141
• D141, 142, 143
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The sum of ages of three brothers is 123 years. If the oldest brother was born before the middle one by 3 years, and the middle brother was born before the youngest one by 9 years, find their current ages.

• A34 years, 43 years, 46 years
• B37 years, 46 years, 49 years
• C34 years, 37 years, 43 years
• D34 years, 37 years, 46 years
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Determine the two numbers whose sum is 42 and difference is 4.

• A23, 19
• B46, 19
• C14, 28
• D26, 19
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The sum of two integers is 56. If the second number is seventh the first one, determine the two numbers.

• A8, 56
• B7, 42
• C8, 42
• D7, 49
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Two integers, the smaller number is and the greater number is , if the difference between them is 26, find the two integers.

• A26, 52
• B6, 8
• C15, 17
• D8, 17
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Find the solution set of in .

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If the solution sets of the equations and in are equal, find the value of .

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Determine the three consecutive odd numbers whose sum is 297.

• A97, 98, 99
• B99, 101, 103
• C99, 100, 101
• D97, 99, 101
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A man's age now is 4 times his son's. If the sum of their ages after 5 years will be 105, determine their ages now.

• A20 years, 62 years
• B25 years, 43 years
• C23 years, 60 years
• D19 years, 76 years
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Find the number that gives 17 when 7 is subtracted from three times itself.

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What are the three consecutive even numbers forming the sum of 2 832?

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If the solution set of the equation is , find the value of the constant .

• A 2
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• C 22
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