What is the solution to this equation?
-0.5z + 1.25 = 3.5z + 0.75
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Answer:
= 0.125
Step-by-step 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