Question

The system of equations is graphed on the coordinate plane.

y=−12x−1y=14x−4

Enter the coordinates of the solution to the system of equations in the boxes.

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A graph with a blue line passing through coordinates (0, -4) and (4, -3) and a red line passing through coordinates (0, -1) and (4, -3).

Answer 1

Explanation:

y = -12x - 1

y = 14x - 4

-12x - 1 = 14x - 4

-1 + 4 = 14x + 12x

3 = 26x

3/26 = x

y = 14x - 4

y = 14(3/26) - 4

y = 42/26 - 4

y = 42/26 - 104/26

y = - 62/26 reduces to - 31/13

solution : x = 3/26 and y = -31/13 or (3/26,-31/13)