To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations
together?
First Equation: 5x - 4y = 28
Second equation: 3x - 9y = 30
The first equation should be multiplied by 3 and the second equation by 5.
The first equation should be multiplied by 9 and the second equation by -4.
The first equation should be multiplied by 3 and the second equation by -5.
The first equation should be multiplied by 9 and the second equation by 5.

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Answer:

D

Step-by-step explanation:

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To eliminate the y-terms and solve for x in the fewest steps , the first equation should be multiplied by 9 and the second equation by -4.

The equation is as follows:

5x - 4y = 28

3x - 9y = 30

To eliminate the y-terms and solve for x can be done as follows:

Multiply the equation(i) by 9

45x - 36y = 252

Multiply the equation(ii) by -4

Therefore,

-12x + 36y = -120

Combine the equation

45x - 36y = 252

-12x + 36y = -120

y will be eliminated by adding the equations.

Therefore, to eliminate the y-terms and solve for x in the fewest steps , the first equation should be multiplied by 9 and the second equation by -4.

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