Question

Is (1,5) a solution to this system of equations?
17x+5y=8
14x+2y=–4
yes or no

Answer 1

To determine if (1, 5) is a solution to the given system of equations, we can substitute \(x = 1\) and \(y = 5\) into both equations and see if both are satisfied.

**For the first equation:**
\[
17x + 5y = 8
\]
Substituting \(x = 1\) and \(y = 5\):
\[
17(1) + 5(5) = 17 + 25 = 42 \quad \text{(not equal to 8)}
\]

**For the second equation:**
\[
14x + 2y = -4
\]
Substituting \(x = 1\) and \(y = 5\):
\[
14(1) + 2(5) = 14 + 10 = 24 \quad \text{(not equal to -4)}
\]

Since (1, 5) does not satisfy either equation, the answer is **no**, (1, 5) is not a solution to the system of equations.