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Multiple Choice For which equation is 6 a solution?

F. – 2y – 7 = 11 – 5y

G. 11y – 32 =7y – 12

H. 18y – 16 =13y + 19

I. – 7y – 24 = – 8 – 9y

Short Answer

Expert verified

The correct answer if F. -2y-7=11-5y

Step by step solution

01

Step-1 – Given

The given equations are:

-2y-7=11-5y,11y-32=7y-12,18y-16=13y+19,-7y-24=-8-9y

02

Step-2 – To determine

We have to identify the equation whose solution is 6.

03

Step-3 – Calculation

We check the equation of F first,

−2y−7=11−5y−2y−7+7=11−5y+7add7toeachside−2y=18−5y−2y+5y=18−5y+5yadd5ytoeachside3y=183y÷3=18÷3 â¶Ä„divideeachsideby3y=6

We got 6 as a solution of this equation. So, the equation -2y-7=11-5y has a solution equal to 6 Hence, the option F is the correct answer.

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