Question

PLEASE HELP ITS MATH THANK YOUUUU

Answer 1

Caleb and Devon each bowled for
`10` hours and spent
`\$55`.

Explanation:

Equations:

• Caleb: y = 4x + 15
• Devon: y = 5x + 5

Where:

• x = hours spent bowling
• y = the total cost

System of equations:

`\begin{cases}y=4x+15\\y=5x+5\end{cases}`

Solve for x

Step 1: Substitute the second equation into the first.

`\implies 4x+15=5x+5`

Step 2: Subtract
`5x` from both sides

`\implies 4x-5x+15=5x-5x+5`

`\implies -x+15=5`

Step 3: Subtract
`15` from both sides.

`\implies -x+15-15=5-15`

`\implies -1x=-10`

Step 4: Divide both sides by
`-1` .

`\implies (-1x)/(-1)=(-10)/(-1)`

`\implies \boxed{x=10}`

Solve for y

Step 1: Substitute the found
`x` value into one of the system of equations.

`\implies y=4(10)+15`

Step 2: Multiply and add.

`\implies y=40+15`

`\implies \boxed{y=55}`

Therefore, Caleb and Devon each bowled for 10 hours and spent $55.