Question

Which equations have no solution? Select ALL equations that have no solution.

A. 5x3+2x = 7x+3
B. 6x +5=2(8+6)
C. 3x + 2(x-1) = 5x +4
D. 4x2+x= -4+3x+2
E. 9x+5+x= 10x-6+1
OA. A and B
OB. B, C, and D
OC. C and E
D. A, C, and E

Answer 1

C. C and E has no solution

Explanation:

C) Let's solve your equation step-by-step.

3x+2(x−1)=5x+4

Step 1: Simplify both sides of the equation.

3x+2(x−1)=5x+4

3x+(2)(x)+(2)(−1)=5x+4(Distribute)

3x+2x+−2=5x+4

(3x+2x)+(−2)=5x+4(Combine Like Terms)

5x+−2=5x+4

5x−2=5x+4

Step 2: Subtract 5x from both sides.

5x−2−5x=5x+4−5x

−2=4

Step 3: Add 2 to both sides.

−2+2=4+2

0=6

Answer:

There are no solutions

E) Let's solve your equation step-by-step.

9x+5+x=10x−6+1

Step 1: Simplify both sides of the equation.

9x+5+x=10x−6+1

9x+5+x=10x+−6+1

(9x+x)+(5)=(10x)+(−6+1)(Combine Like Terms)

10x+5=10x+−5

10x+5=10x−5

Step 2: Subtract 10x from both sides.

10x+5−10x=10x−5−10x

5=−5

Step 3: Subtract 5 from both sides.

5−5=−5−5

0=−10

Answer:

There are no solutions.