Solve A=2(0.7a)+2(0.5b)+4(0.5)(0.7)

$$A = 2 ( 0.7 a ) + 2 ( 0.5 b ) + 4 ( 0.5 ) ( 0.7 )$$

Solve for A

$$A=\frac{7a}{5}+b+1.4$$

Solution Steps

Multiply 2 and 0.7 to get 1.4.

$$A=1.4a+2\times 0.5b+4\times 0.5\times 0.7$$

Multiply 2 and 0.5 to get 1.

$$A=1.4a+b+4\times 0.5\times 0.7$$

Multiply 4 and 0.5 to get 2.

$$A=1.4a+b+2\times 0.7$$

Multiply 2 and 0.7 to get 1.4.

$$A=1.4a+b+1.4$$

Solve for a

$$a=\frac{5A}{7}-\frac{5b}{7}-1$$

Steps for Solving Linear Equation

Multiply 2 and 0.7 to get 1.4.

$$A=1.4a+2\times 0.5b+4\times 0.5\times 0.7$$

Multiply 2 and 0.5 to get 1.

$$A=1.4a+b+4\times 0.5\times 0.7$$

Multiply 4 and 0.5 to get 2.

$$A=1.4a+b+2\times 0.7$$

Multiply 2 and 0.7 to get 1.4.

$$A=1.4a+b+1.4$$

Swap sides so that all variable terms are on the left hand side.

$$1.4a+b+1.4=A$$

Subtract b from both sides.

$$1.4a+1.4=A-b$$

Subtract 1.4 from both sides.

$$1.4a=A-b-1.4$$

Divide both sides of the equation by 1.4, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.4a}{1.4}=\frac{A-b-1.4}{1.4}$$

Dividing by 1.4 undoes the multiplication by 1.4.

$$a=\frac{A-b-1.4}{1.4}$$

Divide A-b-1.4 by 1.4 by multiplying A-b-1.4 by the reciprocal of 1.4.

$$a=\frac{5A}{7}-\frac{5b}{7}-1$$