Question

Jane is solving the linear equation 13+4x-9=7x+7-3x. Her final two steps are:

4+4x =4x +7

4 = 7

Question 15 options:

The solution is x =0


The solution is the ordered pair (4,7).


There is no solution since 4=7 is a false statement.


There are infinitely many solutions since 4=7 is a false statement.


12 of 15 questions saved

Answer 1

There is no solution since 4=7 is a false statement.

Explanation:

This is an automatic giveaway. Think about what would happen if you were to graph these lines on a grid. These lines are parallel lines, and parallel have SIMILAR RATE OF CHANGES [SLOPES], which in this case is 4 [next to the x]. This is what is called an Inconsistent System of equations.

I am joyous to assist you anytime.

Answer 2

There is no solution since 4 = 7 is a false statement.

Explanation:

Let's check Jane's solution.

13 + 4x - 9 = 7x + 7 - 3x combine like terms

4x + (13 - 9) = (7x - 3x) + 7

4x + 4 = 4x + 7 subtract 4x from both sides

4x - 4x + 4 = 4x - 4x + 7

4 = 7 FALSE