Question

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

Answer 1

Answer:

  4

Step-by-step 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

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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