Question

Paloma used these steps to solve the equation 6x+5=3(2x+1). Which choice describes the meaning of her result, 2=0?

Answer 1

The equation is false and has no solutions.

Explanation:

6x + 5 = 3(2x + 1)

Distributive property.

6x + 5 = 6x + 3

Cancel like terms.

5 = 3

Subtract 3 from both sides.

2 ≠ 0

The equation is false and has no solutions.

This means that these two lines never cross, and thus there is no common solution.

Answer 2

there is NO SOLUTION of an equation 6x+5=3(2x+1).

Explanation:

Given: We have to given an equation 6x+5=3(2x+1).

To find: We need to find the solution of an equation, describes the meaning of the result, 2 = 0.

Solution: We know that,

We have given an equation 6x+5=3(2x+1).

We need to solving the equation , and find the value of x.

6x+5=3(2x+1)

On multiplying, 6x+5=6x+1

We can cancel the like terms,

5=3

Subtracting, the (3) on both sides, which makes the zero on either side.

5-3=3-3

2≠0

Therefore, We can say that, there is NO SOLUTION of an equation 6x+5=3(2x+1).

No solution: There is no solution to a system of equation exactly when a single equation 0=1.