Solve 11/2s=3/18(-5)^2+1/3(3/3)^2

$$1 \frac { 1 } { 2 } s = \frac { 3 } { 18 } ( - 5 ) ^ { 2 } + \frac { 1 } { 3 } ( \frac { 3 } { 3 } ) ^ { 2 }$$

Solve for s

$$s=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 2,18,3.

$$9\left(1\times 2+1\right)s=3\left(-5\right)^{2}+6\times \left(\frac{3}{3}\right)^{2}$$

Multiply 1 and 2 to get 2.

$$9\left(2+1\right)s=3\left(-5\right)^{2}+6\times \left(\frac{3}{3}\right)^{2}$$

Add 2 and 1 to get 3.

$$9\times 3s=3\left(-5\right)^{2}+6\times \left(\frac{3}{3}\right)^{2}$$

Multiply 9 and 3 to get 27.

$$27s=3\left(-5\right)^{2}+6\times \left(\frac{3}{3}\right)^{2}$$

Calculate -5 to the power of 2 and get 25.

$$27s=3\times 25+6\times \left(\frac{3}{3}\right)^{2}$$

Multiply 3 and 25 to get 75.

$$27s=75+6\times \left(\frac{3}{3}\right)^{2}$$

Divide 3 by 3 to get 1.

$$27s=75+6\times 1^{2}$$

Calculate 1 to the power of 2 and get 1.

$$27s=75+6\times 1$$

Multiply 6 and 1 to get 6.

$$27s=75+6$$

Add 75 and 6 to get 81.

$$27s=81$$

Divide both sides by 27.

$$s=\frac{81}{27}$$

Divide 81 by 27 to get 3.

$$s=3$$