Question

S=t+5
4s+2t=110
pls help me

Answer 1

s=20

Explanation:

First, plug in s to the equation.

4(t+5) + 2t =110

Then, distribute. That means multiply 4 to the variable and number inside the parentheses.

4t + 20 +2t = 110

Now, add like terms. The two numbers, 4t and 2t can be combined because they have the same variable.

6t + 20 = 110

Subtract 20 from 110 to isolate the variable.

6t = 90

Now, divide 90 by 6 to further isolate the variable.

t = 15

Now we have to find s. To find s, plug t = 15 into the equation.

s = 15 + 5

Lastly, add the two numbers to find s.

s = 20

Check your work! Plug in t = 15 and s = 20 to the equation.

4(20) + 2(15) = 110

Multiply.

80 + 30 = 110

110 = 110

This means your answers are correct! Hope this helped! :)

Answer 2

t = 40/3 (exact)

t = 13.3 (decimal)

t = 13 1/3 (mixed number)

Explanation:

Simplify 4 (t + 5) + 2 (t + 5).

6t + 30 = 110

Move all terms not containing t to the right side of the equation.

6t = 80

Divide each term by 6 and simplify.

t = 40/3

The result can be shown in multiple forms.

t = 40/3 (exact)

t = 13.3 (decimal)

t = 13 1/3 (mixed number)