Concept explainers
To solve: the given equation for m . Check the result.
Answer to Problem 18CYU
The value of m in the given equation is −5 .
Explanation of Solution
Given information:
Given equation
−4(3m−10)−6(−7m−6)=−74
Calculation:
Consider the given equation,
−4(3m−10)−6(−7m−6)=−74
Now, solve the equation as shown,
−4(3m−10)−6(−7m−6)=−74(−4)(3m)+(−4)(−10)+(−6)⋅(−7m)+(−6)(−6)=−74−12m+40+42m+36=−7430m+76=−7430m+76−76=−74−7630m=−150m=−5
Now, check the result by back substitution.
−4(3m−10)−6(−7m−6)=−74−4(3(−5)−10)−6(−7(−5)−6)=−74−4(−15−10)−6(35−6)=−74100−174=−74−74=−74
Which is true.
Hence, the value of m in the given equation is −5 .
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