Question

Maya's car is 3 inches less than 2 times the length of Nate's car. The sum of the lengths of both cars is 26 inches.

Write an equation to determine the lengths of Nate's and Maya's cars.

1. x + 3 − 2x = 26
2. x + 2x = 26
3. 2x − 3 = 26
4. x + 2x − 3 = 26

Answer 1

x + 2x − 3 = 26
Explanation:
Let
x ------> the length of Nate's car
y ------> the length of Maya's car
we know that
x+y=26 -----> equation A
y=2x-3 ----> equation B
substitute equation B in equation A and solve for x
x+(2x-3)=26
3x=26+3
x=29/3 in
Find the value of y
y=2(29/3)-3
y=(58/3)-3
y= 49/3 in

Answer 2

4. x + 2x − 3 = 26

Explanation:

Let the length of Nate's car = x

Then the length of Maya's car is 2x - 3.

The sum of the lengths is x + 2x - 3

The sum of the lengths is 26, so

x + 2x - 3 = 26

Answer: 4. x + 2x − 3 = 26