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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 Tested
by
5.1k points

2 Answers

5 votes

Answer:

(7, -3)

Explanation:

Solve the system of linear equations

2x − y = 11

x + 3y = −5

by elimination by addition and subtraction. Multiply the second equation by -2, obtaining

2x - y = 11

-2x - 6y = 10

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-7y = 21, which yields y = -3

Knowing that y = -3, we can now find the value of x. Let's use the first equation for this purpose. Substituting -3 for y, we get:

2x - (-3) = 11, or

2x = 11 + 3, or 2x = 14. Thus, x = 7.

The solution is (7, -3).

User Rakshakhegde
by
5.0k points
5 votes

Answer:

-3

Explanation:

User Mike Simmons
by
5.5k points