Answer And Step-by-step explanation:
Equation 1: 14x - 10 = W
Equation 2: 5x = W
To solve this system of linear equations and find the values of x and W, we can set the equations equal to each other since they both equal W:
14x - 10 = 5x
Next, we can simplify the equation by subtracting 5x from both sides:
14x - 5x - 10 = 0
Combining like terms, we get:
9x - 10 = 0
To isolate x, we can add 10 to both sides:
9x = 10
Finally, we divide both sides by 9 to solve for x:
x = 10/9
Now, we can substitute this value of x into either Equation 1 or Equation 2 to find the value of W:
Using Equation 1:
W = 14x - 10 = 14(10/9) - 10 = 140/9 - 90/9 = 50/9
Therefore, the solution to the system of linear equations is:
x = 10/9
W = 50/9