Which of the following pairs of numbers A (0; 4), B (2; 0), C (-3; -10) are the solution to the equation 2x-y = 4?

| June 21, 2021 | education

In order to find out whether a point is a solution to an equation, it is necessary to substitute the coordinates of this point into the equation. If the equation remains true, then the point is its solution; if the equation is not correct, then the point is not the solution.

Substitute point A (0; 4) in the equation 2x – y = 4;

2 * 0 – 4 = 4;

-4 = 4, not a true statement, then point A is not a solution to the equation.

Substitute the point B (2; 0) into the equation 2x – y = 4;

2 * 2 – 0 = 4;

4 = 4, the expression is correct, so point B is the solution to the equation.

Substitute the point C (-3; -10) into the equation 2x – y = 4;

2 * (-3) – (-10) = 4;

-6 + 10 = 4;

4 = 4, correct expression, so point C is the solution to the equation.

Answer: points B (2; 0) and C (-3; -10) are the solution to the equation 2x – y = 4.



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