Find an ordered pair $$ (x, y) $$ that is a solution to the equation. $$ x-5 y=5 $$ $$ (x, y)=(\square, \square) $$

Question

UpStudy AI · Accepted Answer

To find an ordered pair $$(x, y)$$ that satisfies the equation:

$$
x - 5y = 5
$$

We can choose a value for one of the variables and solve for the other. Let's choose $$y = 0$$:

$$
x - 5(0) = 5 \
x = 5
$$

So, one possible solution is:

$$
(x, y) = (5, 0)
$$

**Verification:**

$$
5 - 5(0) = 5 \
5 = 5 \quad \text{✓}
$$

**Another Example:**

If we choose $$y = 1$$:

$$
x - 5(1) = 5 \
x - 5 = 5 \
x = 10
$$

So, another valid solution is:

$$
(x, y) = (10, 1)
$$

You can choose any real number for $$y$$ and solve for $$x$$ accordingly to get an infinite number of solutions.
One solution is $$ (5, 0) $$.

Find an ordered pair \( (x, y) \) that is a solution to the equation. \( x-5 y=5 \) \( (x, y)=(\square, \square) \)