Solve the System of Equations 2x+y=5 3y=15-6x

$2 x + y = 5$ $3 y = 15 - 6 x$

Subtract $2 x$ from both sides of the equation.

$y = 5 - 2 x$

$3 y = 15 - 6 x$

Replace all occurrences of $y$ with $5 - 2 x$ in each equation.

Replace all occurrences of $y$ in $3 y = 15 - 6 x$ with $5 - 2 x$ .

$3 (5 - 2 x) = 15 - 6 x$

$y = 5 - 2 x$

Simplify the left side.

Simplify $3 (5 - 2 x)$ .

Apply the distributive property.

$3 \cdot 5 + 3 (- 2 x) = 15 - 6 x$

$y = 5 - 2 x$

Multiply.

Multiply $3$ by $5$ .

$15 + 3 (- 2 x) = 15 - 6 x$

$y = 5 - 2 x$

Multiply $- 2$ by $3$ .

$15 - 6 x = 15 - 6 x$

$y = 5 - 2 x$

$15 - 6 x = 15 - 6 x$

$y = 5 - 2 x$

$15 - 6 x = 15 - 6 x$

$y = 5 - 2 x$

$15 - 6 x = 15 - 6 x$

$y = 5 - 2 x$

$15 - 6 x = 15 - 6 x$

$y = 5 - 2 x$

Remove any equations from the system that are always true.

$y = 5 - 2 x$

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