Solve by Graphing 10x+7y=49 , 10y-x=70

$10 x + 7 y = 49$ , $10 y - x = 70$

Step 1

Subtract $10 x$ from both sides of the equation.

$7 y = 49 - 10 x$

$10 y - x = 70$

Step 2

Divide each term in $7 y = 49 - 10 x$ by $7$ and simplify.

Divide each term in $7 y = 49 - 10 x$ by $7$ .

$\frac{7 y}{7} = \frac{49}{7} + \frac{- 10 x}{7}$

$10 y - x = 70$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} = \frac{49}{7} + \frac{- 10 x}{7}$

$10 y - x = 70$

Divide $y$ by $1$ .

$y = \frac{49}{7} + \frac{- 10 x}{7}$

$10 y - x = 70$

$y = \frac{49}{7} + \frac{- 10 x}{7}$

$10 y - x = 70$

$y = \frac{49}{7} + \frac{- 10 x}{7}$

$10 y - x = 70$

Simplify the right side.

Simplify each term.

Divide $49$ by $7$ .

$y = 7 + \frac{- 10 x}{7}$

$10 y - x = 70$

Move the negative in front of the fraction.

$y = 7 - \frac{10 x}{7}$

$10 y - x = 70$

$y = 7 - \frac{10 x}{7}$

$10 y - x = 70$

$y = 7 - \frac{10 x}{7}$

$10 y - x = 70$

$y = 7 - \frac{10 x}{7}$

$10 y - x = 70$

Step 3

Add $x$ to both sides of the equation.

$10 y = 70 + x$

$y = 7 - \frac{10 x}{7}$

Step 4

Divide each term in $10 y = 70 + x$ by $10$ and simplify.

Divide each term in $10 y = 70 + x$ by $10$ .

$\frac{10 y}{10} = \frac{70}{10} + \frac{x}{10}$

$y = 7 - \frac{10 x}{7}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 y}{10} = \frac{70}{10} + \frac{x}{10}$

$y = 7 - \frac{10 x}{7}$

Divide $y$ by $1$ .

$y = \frac{70}{10} + \frac{x}{10}$

$y = 7 - \frac{10 x}{7}$

$y = \frac{70}{10} + \frac{x}{10}$

$y = 7 - \frac{10 x}{7}$

$y = \frac{70}{10} + \frac{x}{10}$

$y = 7 - \frac{10 x}{7}$

Simplify the right side.

Divide $70$ by $10$ .

$y = 7 + \frac{x}{10}$

$y = 7 - \frac{10 x}{7}$

$y = 7 + \frac{x}{10}$

$y = 7 - \frac{10 x}{7}$

$y = 7 + \frac{x}{10}$

$y = 7 - \frac{10 x}{7}$

Step 5

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

$(0, 7)$

Step 6

Solve by Graphing 10x+7y=49 , 10y-x=70

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