Question

Which equation has no solution?

-12- 6x6 (2x + 2)
15-3x = 5 (x+4)- 8x
24z - 12 = -4 (3-6x)
2 (-1-7)=2x - 10

Answer 1

The equation "2 (-1-7)=2x - 10" has no solution. This is because the left-hand side of the equation is equal to 2*(-8) = -16, while the right-hand side is equal to 2x - 10. There is no value of x that can make these two sides equal, so the equation has no solution.

The other equations you provided do have solutions. The equation "-12- 6x6 (2x + 2) = 15-3x" can be solved by first distributing the 6x6 and combining like terms to get -72x - 12 = 15 - 3x. Then, you can solve for x by adding 3x to both sides and subtracting 15 from both sides to get -72x + 3x = -15 + 15, or -69x = 0. Dividing both sides by -69 gives x = 0.

The equation "24z - 12 = -4 (3-6x)" can be solved by first distributing the -4 to get 24z - 12 = -12 + 24x. Then, you can solve for x by adding 12 to both sides and dividing both sides by 24 to get 24z = 12 + 24x, or x = (24z - 12)/24.

I hope this helps! Let me know if you have any other questions.

Answer 2

The equation "2 (-1-7)=2x - 10" has no solution.

Step-by-step explanation:

2 (-1-7) = 2 (-8) = -16

Then, the equation becomes:

-16 = 2x - 10

We can rearrange this equation to solve for x:

2x = -6

x = -3

However, when we substitute this value of x back into the original equation, we get:

-16 = 2(-3) - 10

-16 = -6 - 10

-16 = -16

Since the left-hand side and the right-hand side of the equation are not equal, the equation has no solution.