Step 1: Identify the given equation. The equation provided is: 72x − y = 5 Step 2: Understand the nature of the problem. This is a single linear equation with two variables, x and y. A single equation with two variables has infinitely many solutions. To "find x and y" in this context means to express one variable in terms of the other. Step 3: Express y in terms of x. To isolate y, we can rearrange the equation: 72x − y = 5 Add y to both sides: 72x = 5 + y Subtract 5 from both sides: 72x − 5 = y So, we have: y = 72x − 5 Step 4: Express x in terms of y. To isolate x, we can rearrange the original equation: 72x − y = 5 Add y to both sides: 72x = 5 + y Divide both sides by 72: x = (5+y)/(72) So, we have: x = (5+y)/(72)

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72x−y=5 Find x and y

August 25, 2026Mathematics

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Answer

y = 72x - 5

x = \frac{5+y}{72}

Step-by-step solution

4 steps

Identify the given equation.
The equation provided is:
$72x - y = 5$
Understand the nature of the problem.
This is a single linear equation with two variables, $x$ and $y$ . A single equation with two variables has infinitely many solutions. To "find $x$ and $y$ " in this context means to express one variable in terms of the other.
Express $y$ in terms of $x$ .
To isolate $y$ , we can rearrange the equation:
$72x - y = 5$
Add $y$ to both sides:
$72x = 5 + y$
Subtract 5 from both sides:
$72x - 5 = y$
So, we have:
$\boxed{y = 72x - 5}$
Express $x$ in terms of $y$ .
To isolate $x$ , we can rearrange the original equation:
$72x - y = 5$
Add $y$ to both sides:
$72x = 5 + y$
Divide both sides by 72:
$x = \frac{5+y}{72}$
So, we have:
$\boxed{x = \frac{5+y}{72}}$

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72x−y=5 Find x and y

Answer

Step-by-step solution

Identify the given equation.

Understand the nature of the problem.

Express yyy in terms of xxx.

Express xxx in terms of yyy.

Try one yourself

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Express $y$ in terms of $x$ .

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