Q. If −4x+3y=8 is a true equation, what would be the value of −3(−4x+3y) ?Answer:
Multiply by −3: We are given the equation −4x+3y=8. We need to multiply this entire equation by −3.Calculation: −3(−4x+3y)=−3×−4x+−3×3y
Multiply terms by −3: Now we will multiply each term inside the parentheses by −3.Calculation: −3×−4x=12x and −3×3y=−9ySo, −3(−4x+3y)=12x−9y
Apply equation property: Since −4x+3y=8 is a true equation, when we multiply both sides by −3, the right side of the equation also gets multiplied by −3.Calculation: −3(−4x+3y)=−3(8)
Calculate final result: Now we will multiply −3 by 8.Calculation: −3×8=−24So, −3(−4x+3y)=−24
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