# Find the point of intersection of the graphs of linear functions y = 5x + 1, y = -3x + 4.

July 24, 2021 | education

| To find the abscissa of the intersection point of the graphs of linear functions y = 5x + 1, y = – 3x + 4, you need to equate the right sides of the equations. Having found x, we find y from any of the equations, for example, from the first.

5x + 1 = – 3x + 4;

5x + 3x = 4 – 1;

2x = 3;

x = 3/2;

x = 1.5.

y = 5x + 1 = 5 * 1.5 + 1 = 7.5 + 1 = 8.5.

Answer. (1.5; 8.5).

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