# Is the pair (2; 5) a solution to the system of equations x-y = -32y-2x = 5.

June 29, 2021 | education

| To determine whether a pair of numbers given by condition is a solution to a system of equations, it is necessary to substitute these numbers into the system of equations and solve numerical equalities. If the equalities hold, then a pair of numbers is a solution to the system:

1) 2 – 5 = – 3;

– 3 = – 3.

The first equality holds.

2) 2 * 5 – 2 * 2 = 5;

10 – 4 = 5;

6 = 5.

The second equality fails.

Thus, the pair of numbers 2 and 5 is not a solution to the system of equations given by the condition, since it does not satisfy the second equation.

Answer: it is not.

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