Question

An ordered pair is always written (x,y)
.

Which ordered pair is a solution to the equation 5x+4y=6
?



(1 point)
Responses

(−1,2)
open paren negative 1 comma 2 close paren

(−2,1)
open paren negative 2 comma 1 close paren

(−2,4)
open paren negative 2 comma 4 close paren

(0,2)

Answer 1

To determine which ordered pair is a solution to the equation \(5x + 4y = 6\), we will substitute the values of \(x\) and \(y\) from each ordered pair into the equation and check if it satisfies the equation.

1. **For the pair \((-1, 2)\)**:
\[
5(-1) + 4(2) = -5 + 8 = 3 \quad (\text{not } 6)
\]

2. **For the pair \((-2, 1)\)**:
\[
5(-2) + 4(1) = -10 + 4 = -6 \quad (\text{not } 6)
\]

3. **For the pair \((-2, 4)\)**:
\[
5(-2) + 4(4) = -10 + 16 = 6 \quad (\text{is } 6)
\]

4. **For the pair \((0, 2)\)**:
\[
5(0) + 4(2) = 0 + 8 = 8 \quad (\text{not } 6)
\]

The only ordered pair that is a solution to the equation \(5x + 4y = 6\) is \((-2, 4)\).