Question

For the linear equation -2x + 3y = 8, which ordered pair is a solutionA. (2,-4)B. (-1, 2)C. (1, 3)D. (-2, 1)

Answer 1

Step 1:

Write the equation

-2x + 3y = 8

Step 2:

Substitute the value of (x , y) into the equation, and the pair which gives 8 is the ordered pair.

Step 3:

`\begin{gathered} Fo\text{r A \lparen 2, -4\rparen} \\ x\text{ = 2, y = -4} \\ -2(2)\text{ + 3\lparen-4\rparen = -4 - 12 = -16 A\lparen2, -4\rparen not ordered pair} \\ For\text{ \lparen-1, 2\rparen} \\ \text{x = -1, y = 2} \\ -2(-1)\text{ + 3\lparen2\rparen = 2 + 6 = 8 B \lparen-1, 2\rparen is the ordered pair} \end{gathered}`

Final answer

B. (-1, 2)