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

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

Solve for s

$$s=12$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 2,5,3.

$$15\left(1\times 2+1\right)s=18\left(-5\right)^{2}+10\times 3^{2}$$

Multiply 1 and 2 to get 2.

$$15\left(2+1\right)s=18\left(-5\right)^{2}+10\times 3^{2}$$

Add 2 and 1 to get 3.

$$15\times 3s=18\left(-5\right)^{2}+10\times 3^{2}$$

Multiply 15 and 3 to get 45.

$$45s=18\left(-5\right)^{2}+10\times 3^{2}$$

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

$$45s=18\times 25+10\times 3^{2}$$

Multiply 18 and 25 to get 450.

$$45s=450+10\times 3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$45s=450+10\times 9$$

Multiply 10 and 9 to get 90.

$$45s=450+90$$

Add 450 and 90 to get 540.

$$45s=540$$

Divide both sides by 45.

$$s=\frac{540}{45}$$

Divide 540 by 45 to get 12.

$$s=12$$