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In Mathematics / Middle School | 2014-05-13

What is the answer and the steps to solve the equation [tex]\frac{4}{5} = -\frac{4}{7}g[/tex]?

Asked by DinaAzzam

Answer (3)

5 4 ​ = 7 g − 4 ​ ⇒ 4 ⋅ 7 g = 5 ⋅ ( − 4 ) / : ( 4 ⋅ 7 ) g = 4 ⋅ 7 5 ⋅ ( − 4 ) ​ = − 7 5 ​ − − − − − − − − − − − − 5 4 ​ = 7 − 4 ​ ⋅ g / ⋅ ( − 4 7 ​ ) g = 5 4 ​ ⋅ ( − 4 7 ​ ) = − 5 7 ​

Answered by kate200468 | 2024-06-10

Isolate the variable g on one side of the equation by multiplying by (-7/4) on each side. The fours cancel since you get (4/5) (-7/4) = (4/4) (-7/5) = 1*(-7/5) and you're left with g = (-7/5) = -1 2/5 = -1.40

Answered by Anonymous | 2024-06-10

The solution to the equation 5 4 ​ = − 7 4 ​ g is g = 5 7 ​ , which can be simplified to 1.4. We isolated g by eliminating fractions and dividing by coefficients. The steps included multiplying both sides and simplifying to find g .
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Answered by kate200468 | 2025-01-10