To solve each of these equations, we will follow these steps:
- Distribute and simplify both sides of the equation.
- Solve for the variable by isolating it on one side of the equation.
Let's solve each equation one by one:
(2.08 - x) • 2.8 = 5.152 First, distribute the 2.8 on the left side: 5.824 - 2.8x = 5.152 Now, isolate x: -2.8x = 5.152 - 5.824 -2.8x = -0.672 x = -0.672 / -2.8 x ≈ 0.24
2.73 / (0.18 + x) = 3.5 First, multiply both sides by (0.18 + x) to get rid of the denominator: 2.73 = 3.5(0.18 + x) 2.73 = 0.63 + 3.5x Now, isolate x: 3.5x = 2.73 - 0.63 3.5x = 2.1 x = 2.1 / 3.5 x = 0.6
16 - x / 4.5 = 2.6 First, multiply both sides by 4.5 to get rid of the denominator: 16 - x = 2.6 * 4.5 16 - x = 11.7 Now, isolate x: -x = 11.7 - 16 -x = -4.3 x = 4.3
168 / x - 11.8 = 68.2 First, add 11.8 to both sides: 168 / x = 68.2 + 11.8 168 / x = 80 Now, isolate x: x = 168 / 80 x = 2.1
Therefore, the solutions to the equations are:
- x ≈ 0.24
- x = 0.6
- x = 4.3
- x = 2.1