Question

3x-8=-4y. determin which ordered pair is a soulution to the equation

Answer 1

now do 1.5x-2y=8

Answer 2

To determine which ordered pair is a solution to the equation \(3x - 8 = -4y\), we can test specific ordered pairs \((x, y)\) by substituting the values into the equation.

Let's go through the steps:

1. Rearrange the equation for clarity:
\[
3x + 4y = 8
\]

2. Now, substitute different values for \(x\) and \(y\) to check if the equation holds true.

For example, assume we have the following pairs to test:
- \( (2, 0) \)
- \( (0, 2) \)
- \( (4, -1) \)

### Testing Ordered Pairs

1. **Testing \( (2, 0) \)**:
\[
3(2) + 4(0) = 6 + 0 = 6 \quad \text{(not a solution)}
\]

2. **Testing \( (0, 2) \)**:
\[
3(0) + 4(2) = 0 + 8 = 8 \quad \text{(solution)}
\]

3. **Testing \( (4, -1) \)**:
\[
3(4) + 4(-1) = 12 - 4 = 8 \quad \text{(solution)}
\]

### Summary
The ordered pairs \( (0, 2) \) and \( (4, -1) \) are solutions to the equation \(3x - 8 = -4y\). You can substitute any other pair to confirm if they are solutions or not.

Answer 3

To determine which ordered pairs are solutions to the equation \(1.5x - 2y = 8\), let's consider the equation and substitute different values for \(x\) and \(y\).

### Rearranging the Equation
First, we can rewrite the equation into a more familiar form:
\[
1.5x - 2y = 8
\]

### Testing Ordered Pairs
Let's test some sample ordered pairs to check if they satisfy the equation. For example, we can test the following pairs:
- \( (4, -1) \)
- \( (0, -4) \)
- \( (6, 3) \)

#### Testing Ordered Pairs

1. **Testing \( (4, -1) \)**:
\[
1.5(4) - 2(-1) = 6 - (-2) = 6 + 2 = 8 \quad \text{(solution)}
\]

2. **Testing \( (0, -4) \)**:
\[
1.5(0) - 2(-4) = 0 + 8 = 8 \quad \text{(solution)}
\]

3. **Testing \( (6, 3) \)**:
\[
1.5(6) - 2(3) = 9 - 6 = 3 \quad \text{(not a solution)}
\]

### Summary
The ordered pairs \( (4, -1) \) and \( (0, -4) \) are solutions to the equation \(1.5x - 2y = 8\). You may test other ordered pairs similarly to determine if they are also solutions.