Question

3x-8=-4y find the ordered pair

Answer 1

1.5x-2y=8 find the ordered pair

Answer 2

To find an ordered pair that satisfies the equation \(3x - 8 = -4y\), we can express \(y\) in terms of \(x\) or vice versa. Let's solve for \(y\):

Starting with the equation:

\[
3x - 8 = -4y
\]

We can rearrange it to solve for \(y\):

\[
-4y = 3x - 8
\]

Now, divide both sides by -4:

\[
y = -\frac{3}{4}x + 2
\]

This equation gives us a linear relationship between \(x\) and \(y\). To find a specific ordered pair \((x, y)\), we can choose a value for \(x\) and calculate the corresponding \(y\).

Let's select \(x = 0\):

\[
y = -\frac{3}{4}(0) + 2 = 2
\]

This gives the ordered pair \((0, 2)\).

If you prefer to select a different value for \(x\), let's try \(x = 4\):

\[
y = -\frac{3}{4}(4) + 2 = -3 + 2 = -1
\]

This results in the ordered pair \((4, -1)\).

You can choose any value for \(x\) to generate additional ordered pairs. Here are two examples:
- \((0, 2)\)
- \((4, -1)\)

Answer 3

To find an ordered pair \((x, y)\) that satisfies the equation \(1.5x - 2y = 8\), we can express \(y\) in terms of \(x\) or vice versa. Let's solve the equation for \(y\):

Starting with the equation:

\[
1.5x - 2y = 8
\]

We can rearrange this to isolate \(y\):

\[
-2y = -1.5x + 8
\]

Now, divide both sides by -2:

\[
y = \frac{1.5}{2}x - 4
\]

Simplifying \(\frac{1.5}{2}\):

\[
y = 0.75x - 4
\]

Now, we can choose a value for \(x\) to find the corresponding \(y\). Let's try \(x = 0\):

\[
y = 0.75(0) - 4 = -4
\]

So, one ordered pair is \((0, -4)\).

Now, let's choose another value, say \(x = 8\):

\[
y = 0.75(8) - 4 = 6 - 4 = 2
\]

This gives us another ordered pair, \((8, 2)\).

To summarize, here are two examples of ordered pairs that satisfy the equation \(1.5x - 2y = 8\):
- \((0, -4)\)
- \((8, 2)\)

You can generate additional pairs by selecting different values for \(x\).