Question

Solve for x and y 10x + 7y = 1435

Answer 1

To solve for x do the following steps.

Step 1. Subtract $7y$ from both sides

$10x=1435-7y$

Step 2. Divide both sides by $10$

$x=\frac{1435-7y}{10}$

Step 3. Factor out the common term $7$

$x= \frac{7(205-y)}{10}$

Now lets solve for y. Follow the steps below.

Step 1. Subtract $10x$ from both sides.

$7y=1435-10x$

Step 2. Divide both sides by 7.

$y= \frac{1435-10x}{7}$

Step 3. Factor out the common term 5.

$y= \frac{5(287-2x)}{7}$

Done! :)

Answer 2

Move all terms that don't contain x to the right side and solve.
x = -7y/10 + 718/5