Question

The distance from your house to the park is represented by the expression "5x + 4 more than 2 − 2x." The distance from the park to the school is represented by the expression "2x − 2 less than 3x − 10." Find a single expression that represents the distance traveled if you pass through the park on your way to school.

Answer 1

Answer:

The distance from the house to the school is equal to $(4x-2)$

Step-by-step explanation:

Let

A-----> the distance from house to the park

B----> the distance from the park to the school

C----> the distance from house to the school

so

$C=A+B$

we know that

$A=(2-2x)+(5x+4)$

$B=(3x-10)-(2x-2)$

so

Find the the value of C

$C=(2-2x)+(5x+4)+(3x-10)-(2x-2)$

$C=(4x-2)$

therefore

The distance from the house to the school is equal to $(4x-2)$