High School

Which of the following equations could be used to solve the given equation?

9 x + 26 + 7 x - 17 = 2 x + (-3 x) + 5 x

A. 16 x + 9 = 0
B. 16 x + 9 = 4 x
C. 16 x + 11 = 4 x

Answer :

If we simplify like terms on left and right sides we gwt

16x + 9 = 4x

Its B

Answer: The correct option is (B) [tex]16x+9=4x.[/tex]

Step-by-step explanation: We are given to select the correct equation that could be used to solve the following equation :

[tex]9x+26+7x-17=2x+(-3x)+5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the correct equation, we need to simplify the given equation (i).

From equation (i), we get

[tex]9x+26+7x-17=2x+(-3x)+5x\\\\\Rightarrow (9+7)x+(26-17)=2x-3x+5x\\\\\Rightarrow 16x+9=(2-3+5)x\\\\\Rightarrow 16x+9=4x.[/tex]

Thus, the required equation is [tex]16x+9=4x.[/tex]

Option (B) is CORRECT.

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