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MaRussiya
13 days ago
12

to eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied? first equat

ion: 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.
Mathematics
2 answers:
lawyer [4K]13 days ago
8 0

Answer: To eliminate the y terms and solve for x with minimum steps, we should multiply the first equation by 9 and the second equation by -4.


Step-by-step explanation:

Given: Equation (1) 5x − 4y = 28

Equation (2) 3x - 9y = 30

To eliminate the y-terms and determine x in the fewest operations, it requires us to multiply equation (1) by 9 and equation (2) by -4 to have

9(5x − 4y) =9 (28) ⇒ 45x - 36y = 252

-4(3x - 9y) = -4(30) ⇒ -12x + 36y = -120

By adding both equations together, the y-term is eliminated, leading to 45x - 12x = 132

⇒ 33x = 132 ⇒ x = 4.

Leona [4.1K]13 days ago
7 0
To remove the variable y, we need to multiply the first equation by 9 and the second one by -4.
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