Which of the pairs of numbers (5; 2); (-3; 4) (8; 0) (-5.5; 3) are solutions to equation 5y – 2x = 26?

In order to find out whether a point is a solution to the equation, it is necessary to substitute its coordinates into the equation, if the correct equality is obtained, then the point is a solution to the equation. If the equality is not true, then the point is not a solution to the equation.

Substitute the coordinates of the points into the equation 5y – 2x = 26:

1) (5; 2): 5 * 2 – 2 * 5 = 26;

10 – 10 = 26;

0 = 26 – the equality is incorrect, so the point is not a solution to the equation.

2) (-3; 4): 5 * 4 – 2 * (-3) = 26;

20 + 6 = 26;

26 = 26 – correct equality.

3) (8; 0): 5 * 0 – 2 * 8 = 26;

-16 = 26 – invalid equality.

4) (-5.5; 3): 5 * 3 – 2 * (-5.5) = 26;

15 + 11 = 26;

26 = 26 – correct equality.

Answer: pairs of numbers (-3; 4) and (-5.5; 3) – are the solution to the equation.