Question

Select the correct answer. Given the equations `9x + (3)/(4)y = 6` and `2x + (1)/(2)y = 9`, by what factor would you multiply the second equation to eliminate y and solve the system through linear combinations? A. `-4/3` B. `-3/4` C. `-3/2` D. `-7/2`

Answer 1

-3/2 is the  factor would multiply the second equation to eliminate y.

The correct option is (C).

What is factor?

A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.

Given equation is :

9x+3/4 y =6

2x+1/2 y =9

If we have to eliminate the y variable so we have to multiply it by factor -3/2

Then the second equation become

-3/2(2x+1/2 y =9)

-3x- 3/4 y =- 27/2

As we can see the y variable of both the equation is same.

Hence, -3/2 is the  factor would multiply the second equation to eliminate y.

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