Question

Given the equation : 5 + x - 14 = x - 7

Part A. Solve the equation . 5 + x - 14 = x - 7 In your final answer, be sure to state the solution and include all of your work.

Part B. Use the values x = -2, 0, 3 to verify your solution to the equation .5 + x - 14 = x - 7 In your final answer, include all of your calculations.

Answer 1

Part A: -9 ≠ -7

no solution

Part B: below for the answers

Explanation:

Part A: 5 + x - 14 = x - 7

subtract x on both sides

x - 5 + x - 14 = x - 7 - x

then, we take away the x's

5 - 14 = -7

-9 ≠ -7

there is no solution

Part B: 5 + -2 - 14 = -2 - 7

-11 ≠ -9

5 + 0 - 14 = 0 - 7

-9 ≠ -7

5 + 3 - 14 = 3 - 7

-6 ≠ -4

Answer 2

Well, at first consider the given equation, then will be solving for Part A) and B),

`{:\implies \quad \sf 5+x-14=x-7}`

Subtracting x from both sides will yield ;

`{:\implies \quad \sf 5-14=-7}`

`{:\implies \quad \sf -9=-7}`

But, -9 ≠ -7, so their is no solution for values of x, as -9 can't be equal to -7 , so from definition of algebra, we can say that, their are no solutions for x, as there are no solutions for x, so nothing can be concluded from Part A and Part B