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
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
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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