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Consider the system of linear equations. 5 x + 10 y = 15. 10 x + 3 y = 13 To use the linear combination method and addition to eliminate the x-terms, by which number should the first equation be multiplied? –2 Negative one-half One-half 2

2 Answers

5 votes

Answer:

-2 is correct

Explanation:

Just did the test

User Fred Perrin
by
5.4k points
3 votes

Answer:

-2

Explanation:

5 x + 10 y = 15 (1)

10 x + 3 y = 13

To eliminate the x- terms, we have -10x, so we have to multiple bothe sides of equation (1) by -2.

Then we have

-10x - 20y = -30

10 x + 3 y = 13

--------------------------( add side by side)

0 - 17y = -17

y= 1 and x = 1

User Deemoe
by
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