Solve 26a+(20-2b)35=628a

$$26 a + ( 20 - 2 b ) 35 = 628 a$$

Solve for a

$$a=\frac{50-5b}{43}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 20-2b by 35.

$$26a+700-70b=628a$$

Subtract 628a from both sides.

$$26a+700-70b-628a=0$$

Combine 26a and -628a to get -602a.

$$-602a+700-70b=0$$

Subtract 700 from both sides. Anything subtracted from zero gives its negation.

$$-602a-70b=-700$$

Add 70b to both sides.

$$-602a=-700+70b$$

The equation is in standard form.

$$-602a=70b-700$$

Divide both sides by -602.

$$\frac{-602a}{-602}=\frac{70b-700}{-602}$$

Dividing by -602 undoes the multiplication by -602.

$$a=\frac{70b-700}{-602}$$

Divide -700+70b by -602.

$$a=\frac{50-5b}{43}$$

Solve for b

$$b=-\frac{43a}{5}+10$$

Steps for Solving Linear Equation

Use the distributive property to multiply 20-2b by 35.

$$26a+700-70b=628a$$

Subtract 26a from both sides.

$$700-70b=628a-26a$$

Combine 628a and -26a to get 602a.

$$700-70b=602a$$

Subtract 700 from both sides.

$$-70b=602a-700$$

Divide both sides by -70.

$$\frac{-70b}{-70}=\frac{602a-700}{-70}$$

Dividing by -70 undoes the multiplication by -70.

$$b=\frac{602a-700}{-70}$$

Divide 602a-700 by -70.

$$b=-\frac{43a}{5}+10$$