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What is the solution to this equation?
-0.5z + 1.25 = 3.5z + 0.75

What is the solution to this equation? -0.5z + 1.25 = 3.5z + 0.75-example-1

1 Answer

4 votes

Answer:

= 0.125

Explanation:

Combine multiplied terms into a single fraction : −

-0.5z + 1.25= 3.5z +0.75

-z/2 + 1.25 = 3.5z + 0.75

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Combine multiplied terms into a single fraction

-z/2 + 1.25 =3.5z + 0.75

-z/2 + 1.25=7z/2 + 0.75

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Subtract 1.25 from both sides of the equation

-z/2 + 1.25 = 7z/2 + 0.75

-z/2 + 1.25 - 1.25 = -z/2+0.75 - 1.25

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Simplify

Subtract the numbers

-z/2 - 7z/2 - 0.5

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Multiply all terms by the same value to eliminate fraction denominators

-z/2 - 7z/2 - 0.5

2· -z/2 = 2(7z/2 - 0.5)

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Simplify

-Cancel multiplied terms that are in the denominator

-Distribute

-Cancel multiplied terms that are in the denominator

-z = 7z- -1

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Subtract 7z from both sides of the equation

-z = 7z- -1

-z -7z = 7z - -1 -7z

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Simplify

-Combine like terms

-Combine like terms

-8z = - -1

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Divide both sides of the equation by the same term

-8z = - -1

-8z/-8 = --1/-8

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Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

= 0.125

User Martin Gross
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