Question

which ordered pair (x,y) is a solution to the equation 3x+2y=11?
A. (-2,5)
B. (5,2)
C.(5,-2)
D.(-5,-2)
E.(-5,2)

Answer 1

To determine which ordered pair \((x,y)\) is a solution to the equation \(3x + 2y = 11\), we can substitute each pair into the equation and see if it satisfies it.

Let's check each option:

A. \((-2, 5)\):
\[
3(-2) + 2(5) = -6 + 10 = 4 \quad (\text{not a solution})
\]

B. \((5, 2)\):
\[
3(5) + 2(2) = 15 + 4 = 19 \quad (\text{not a solution})
\]

C. \((5, -2)\):
\[
3(5) + 2(-2) = 15 - 4 = 11 \quad (\text{is a solution})
\]

D. \((-5, -2)\):
\[
3(-5) + 2(-2) = -15 - 4 = -19 \quad (\text{not a solution})
\]

E. \((-5, 2)\):
\[
3(-5) + 2(2) = -15 + 4 = -11 \quad (\text{not a solution})
\]

The only ordered pair that satisfies the equation \(3x + 2y = 11\) is option **C: (5, -2)**.