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What is the x-value in the solution to this system of linear equations?

2x - y = 11
x + 3y = -5

-3
-1
2
4

User LazNiko
by
8.5k points

2 Answers

7 votes

Answer:

D. 4

Explanation:

Got it right on edge2020

User Ntn
by
7.8k points
6 votes

Answer:

4

Explanation:

The y-variable can be eliminated by adding 3 times the first equation to the second:

3(2x -y) +(x +3y) = 3(11) +(-5)

7x = 28 . . . . simplify

x = 4 . . . . . . . divide by 7

_____

Using Cramer's Rule, you can also find the x-value. The math is not so different.

x = ((-1)(-5) -(3)(11))/(-1(1) -3(2)) = -28/-7 = 4

User Jupaol
by
7.7k points

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