Solve the System of Equations y=6x y=5x+7

$y = 6 x$ $y = 5 x + 7$

Step 1

Eliminate the equal sides of each equation and combine.

$6 x = 5 x + 7$

Step 2

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

Subtract $5 x$ from both sides of the equation.

$6 x - 5 x = 7$

Subtract $5 x$ from $6 x$ .

$x = 7$

Step 3

Evaluate $y$ when $x = 7$ .

Substitute $7$ for $x$ .

$y = 5 (7) + 7$

Simplify $5 (7) + 7$ .

Multiply $5$ by $7$ .

$y = 35 + 7$

Add $35$ and $7$ .

$y = 42$

Step 4

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(7, 42)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(7, 42)$

Equation Form:

$x = 7, y = 42$

Step 6