Solve the System of Equations y=5x+5 5y=25x

$y = 5 x + 5$ $5 y = 25 x$

Step 1

Replace all occurrences of $y$ with $5 x + 5$ in each equation.

Replace all occurrences of $y$ in $5 y = 25 x$ with $5 x + 5$ .

$5 (5 x + 5) = 25 x$

$y = 5 x + 5$

Simplify the left side.

Simplify $5 (5 x + 5)$ .

Apply the distributive property.

$5 (5 x) + 5 \cdot 5 = 25 x$

$y = 5 x + 5$

Multiply.

Multiply $5$ by $5$ .

$25 x + 5 \cdot 5 = 25 x$

$y = 5 x + 5$

Multiply $5$ by $5$ .

$25 x + 25 = 25 x$

$y = 5 x + 5$

$25 x + 25 = 25 x$

$y = 5 x + 5$

$25 x + 25 = 25 x$

$y = 5 x + 5$

$25 x + 25 = 25 x$

$y = 5 x + 5$

$25 x + 25 = 25 x$

$y = 5 x + 5$

Step 2

Solve for $x$ in $25 x + 25 = 25 x$ .

Move all terms containing $x$ to the left side of the equation.

Subtract $25 x$ from both sides of the equation.

$25 x + 25 - 25 x = 0$

$y = 5 x + 5$

Combine the opposite terms in $25 x + 25 - 25 x$ .

Subtract $25 x$ from $25 x$ .

$0 + 25 = 0$

$y = 5 x + 5$

Add $0$ and $25$ .

$25 = 0$

$y = 5 x + 5$

$25 = 0$

$y = 5 x + 5$

$25 = 0$

$y = 5 x + 5$

Since $25 \neq 0$ , there are no solutions.

No solution

$y = 5 x + 5$

No solution

Step 3

Solve the System of Equations y=5x+5 5y=25x

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