Find the coordinates of the intersection point of the graphs of the functions y = 10x-14 and y = -3x + 12.

univerkov | August 13, 2021 | education

Let’s equate the functions to understand at what point they intersect:

10x – 14 = -3x + 12.

Move the unknowns to one side, and the numbers to the other. When transferring, the sign changes.

10x + 3x = 12 + 14.

13x = 36.

x = 36/13.

Find the value of y at this point by substituting x in any of the functions:

10 * 36/13 + 14 = 360/13 + 14 = 360/13 + 182/13 = 542/13.

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