Solve 196=a(2^2)+b(2)

$$196 = a( { 2 }^{ 2 } )+b(2)$$

Solve for a

$$a=-\frac{b}{2}+49$$

Steps for Solving Linear Equation

Calculate 2 to the power of 2 and get 4.

$$196=a\times 4+b\times 2$$

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

$$a\times 4+b\times 2=196$$

Subtract b\times 2 from both sides.

$$a\times 4=196-b\times 2$$

Multiply -1 and 2 to get -2.

$$a\times 4=196-2b$$

The equation is in standard form.

$$4a=196-2b$$

Divide both sides by 4.

$$\frac{4a}{4}=\frac{196-2b}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$a=\frac{196-2b}{4}$$

Divide 196-2b by 4.

$$a=-\frac{b}{2}+49$$

Solve for b

$$b=98-2a$$

Steps for Solving Linear Equation

Calculate 2 to the power of 2 and get 4.

$$196=a\times 4+b\times 2$$

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

$$a\times 4+b\times 2=196$$

Subtract a\times 4 from both sides.

$$b\times 2=196-a\times 4$$

Multiply -1 and 4 to get -4.

$$b\times 2=196-4a$$

The equation is in standard form.

$$2b=196-4a$$

Divide both sides by 2.

$$\frac{2b}{2}=\frac{196-4a}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$b=\frac{196-4a}{2}$$

Divide 196-4a by 2.

$$b=98-2a$$