Question

A calculator is allowed on this question.

For what value of the coefficient, C, will the equation have no solution?
HELP PLS HOW DO I DO THIS STEP BY STEP!!

Answer 1

2/3

Explanation:

3/4 * (5+ 2/3/2*x)+2 = x+7/4

Simplify

3/4(5+ 1/3x)+2 = x+7/4

15/4 + 1/4x +2 = x+7/4

23/4 + 1/4x = x+7/4

Cancel terms (multiply by 4 to get rid of 4)

23 + x = x + 7

23 = 7

false :)

Answer 2

C. 2/3

Explanation:

You want the value of C that makes the equation have no solution.

(3/4)(5 +(C/2)x) +2 = (x +7)/4

Simplify

A calculator is not needed to simplify the equation. We can start by multiplying both sides by 4.

3(5 +(C/2)x) +8 = x +7

15 +(3C/2)x +8 = x +7

(3C/2)x +23 = x +7

No solution

This will have no solution if the coefficient of x is the same on both sides of the equal sign.

3C/2 = 1

Multiplying by 2/3 gives ...

C = 2/3

The value 2/3 for C will make the equation have no solution, choice C.

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Additional comment

When C=2/3, the equation becomes one that reduces to ...

(x +23)/4 = (x +7)/4 . . . . . no value of x will make this true.

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