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 prove your solution to the equation 5 + x - 14 = x - 7 . In your final answer, include all of your calculations.

Respuesta :

Answer:

a.  [tex]-9 \neq -7[/tex]

b.  [tex]-11 \neq -9[/tex]       [tex]-9 \neq -7[/tex] and   [tex]-6 \neq -4[/tex]

Step-by-step explanation:

Given:

[tex]5 + x - 14 = x - 7[/tex]

Solving (a): Solve the equation

[tex]5 + x - 14 = x - 7[/tex]

Collect Like Terms

[tex]x + 5 - 14 = x - 7[/tex]

[tex]x - 9 = x - 7[/tex]

Subtract x from both sides

[tex]-9 \neq -7[/tex]

Solving (b): Take the value of x to be -2, 0 and 3

Substitute -2 for x

[tex]5 -2 - 14 = -2 - 7[/tex]

[tex]-11 \neq -9[/tex]

Substitute 0 for x

[tex]5 + 0 - 14 = 0 - 7[/tex]

[tex]-9 \neq -7[/tex]

Substitute 3 for x

[tex]5 + 3 - 14 = 3 - 7[/tex]

[tex]-6 \neq -4[/tex]

Answer:

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Step-by-step explanation:

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