UV=3c+29,VW=-2-4,UW=-4c
To find the value of 'c' in the given equations UV = 3c + 29, VW = -2 - 4, and UW = -4c, we can use the method of substitution. Here's how we can solve it step by step:
1. Let's start by rearranging the equations to isolate 'c' on one side.
UV = 3c + 29 ----> Equation 1
VW = -2 - 4 ----> Equation 2
UW = -4c ----> Equation 3
2. Looking at Equation 2, VW = -2 - 4, we can simplify it.
VW = -6
3. Now, let's substitute the values back into Equation 1 and Equation 3.
UV = 3c + 29 ----> Equation 1
VW = -6
UW = -4c ----> Equation 3
4. Substitute VW = -6 and UW = -4c into Equation 1.
-6 = 3c + 29
Simplify the equation:
-6 - 29 = 3c
-35 = 3c
5. Divide both sides of the equation by 3 to solve for 'c'.
c = (-35) / 3
Simplify:
c ≈ -11.67
So, the value of 'c' is approximately -11.67.