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

$$s=-8$$

Steps for Solving Linear Equation

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

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

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply 15 and 3 to get 45.

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

Calculate 5 to the power of 2 and get 25.

$$45s=18\left(-25\right)+10\times 3^{2}$$

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 -360.

$$45s=-360$$

Divide both sides by 45.

$$s=\frac{-360}{45}$$

Divide -360 by 45 to get -8.

$$s=-8$$