Question

Determine which of the fallowing ordered pairs is a solution to the equation 3x-8=-4y

A. (-1,1)
B. (0,-2)
C. (0,2)
D. (1,1)

Answer 1

To determine which of the ordered pairs is a solution to the equation \(3x - 8 = -4y\), we can substitute each pair \((x, y)\) into the equation and check if it holds true.

Let's evaluate each option:

**A. \((-1, 1)\)**
\[
x = -1, \quad y = 1
\]
Substituting into the equation:
\[
3(-1) - 8 = -4(1)
\]
\[
-3 - 8 = -4
\]
\[
-11 \neq -4
\]
**Not a solution.**

**B. \((0, -2)\)**
\[
x = 0, \quad y = -2
\]
Substituting into the equation:
\[
3(0) - 8 = -4(-2)
\]
\[
-8 = 8
\]
**Not a solution.**

**C. \((0, 2)\)**
\[
x = 0, \quad y = 2
\]
Substituting into the equation:
\[
3(0) - 8 = -4(2)
\]
\[
-8 = -8
\]
**This is a solution.**

**D. \((1, 1)\)**
\[
x = 1, \quad y = 1
\]
Substituting into the equation:
\[
3(1) - 8 = -4(1)
\]
\[
3 - 8 = -4
\]
\[
-5 \neq -4
\]
**Not a solution.**

The only ordered pair that is a solution to the equation \(3x - 8 = -4y\) is:
**C. \((0, 2)\)**.