Is the pair of numbers (2; 1) a solution to the system of equations {2x + 11y = 15 {10x − 11y = 9
| August 8, 2021 | education
{2 * X + 11 * Y = 15.
{10 * X – 11 * Y = 9.
To solve, we substitute the values X = 2 and Y = 1 into each of the equations of the system and check whether the equality is true.
2 * 2 + 11 * 1 = 4 + 11 = 15.
15 = 15.
10 * 2 – 11 * 1 = 20 – 11 = 9.
9 = 9.
Since both equalities are true, the numbers are the solution to the equation.
Answer: Yes.
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