How do I solve for
.10=.9x + .14(1-x)
I keep getting x/(1-x) and I don;t know how to do that. Any help would be appreciated
first expand it
.10 = .9x + .14 - .14x
.10 - .14 = .76x
-.04 = .76x
x = -.04/.76
x = -4/76 = 1/19
<<How do I solve
0.10 = 0.9x + .14(1-x)>>
0.10 = 0.14 +0.76x
Subtract 0.14 from both sides. Then multiply both sides of the equation by 100
-4 = 76x
x = -1/19
To solve the equation for x, you need to isolate it on one side of the equation. Let's go through the steps:
1. Distribute the decimal coefficients:
0.10 = 0.9x + 0.14 - 0.14x
2. Combine like terms:
0.10 = 0.9x - 0.14x + 0.14
3. Simplify:
0.10 = (0.9 - 0.14)x + 0.14
4. Combine the coefficients:
0.10 = 0.76x + 0.14
5. Move the constant term (0.14) to the right side by subtracting it from both sides:
0.10 - 0.14 = 0.76x
6. Simplify and solve for x:
-0.04 = 0.76x
Now, to isolate x, we need to divide both sides of the equation by 0.76:
-0.04 / 0.76 = x/(1)
-0.0526 = x
So, the solution to the equation is x = -0.0526.
Regarding your confusion with getting x/(1-x), it appears there may have been a mistake in your previous calculations. Following the steps provided should lead to the correct solution.