to eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied? 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 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 9 and the second equation by −4.

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texaschic101 texaschic101 · Answer 1 · 2016-07-14T07:25:16+02:00

5x - 4y = 28
3x - 9y = 30

to eliminate y : multiply first equation by 9 and second equation by -4

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JeanaShupp JeanaShupp · Answer 2 · 2018-11-01T11:50:28+01:00

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

Step-by-step explanation:

Given : Equation (1) 5x − 4y = 28

Equation (2) 3x - 9y = 30

to eliminate the y-terms and solve for x in the fewest steps, we should multiply equation (1) by 9 and equation (2) by -4 such that

9(5x − 4y) =9 (28)⇒45x-36y=252

-4(3x - 9y) = -4(30)⇒ -12x+36y= -120

Now adding both equations, y-term eliminated and we get, 45x-12x=132

⇒33x=132⇒x=4.