Question

Find the solution of this system of linear equations. Separate the x- and y- values with a comma. Enclose them in a pair of parentheses. 12x+14y=22 12x-3y=-63

Answer 1

(-4, 5)

Explanation:

12x + 14y = 22

12x - 3y = -63

Rewrite the first equation. Multiply both sides of the second equation by -1 and write it below the first equation. Then, add the equations.

12x + 14y = 22

(+) -12x + 3y = 63

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17y = 85

17y/17 = 85/17

y = 5

Substitute y with 5 in the first original equation and solve for x.

12x + 14y = 22

12x + 14(5) = 22

12x + 70 = 22

12x = -48

x = -4

Answer: (-4, 5)