Find the point of intersection of the graphs of linear functions y = 2x-3 and y = 7-3x.

1) Find the abscissa of the intersection point of the graphs of the functions y = 2x – 3 and y = 7 – 3x. To do this, you need to equate the right-hand sides of the equations.

2x – 3 = 7 – 3x;

2x + 3x = 7 + 3;

5x = 10;

x = 10: 5;

x = 2.

2) Find the ordinate of the intersection point of the graphs. To do this, you need to substitute the value of the variable x into any of the equations, for example, into the first one.

y = 2x – 3 = 2 * 2 – 3 = 4 – 3 = 1.

Answer. (2; 1).



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