Answer: 18
Explanation:
To find the value of x when given the equations m/4 = -2x + 116 and m/5 = 8x - 80, we can solve the system of equations. Here are the steps:
1. Start with the first equation:
- m/4 = -2x + 116
2. Multiply both sides of the equation by 4 to eliminate the fraction:
- 4 * (m/4) = 4 * (-2x + 116)
- m = -8x + 464
3. Next, focus on the second equation:
- m/5 = 8x - 80
4. Multiply both sides of the equation by 5 to eliminate the fraction:
- 5 * (m/5) = 5 * (8x - 80)
- m = 40x - 400
5. Now we have two equations with the same value of m. Since they are equal to each other, we can set them equal to each other:
- -8x + 464 = 40x - 400
6. Simplify and solve for x:
- Combine like terms:
-8x - 40x = -400 - 464
-48x = -864
- Divide both sides of the equation by -48:
x = -864 / -48
x = 18
So, the value of x is 18.