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.
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Step-by-step 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

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

Step-by-step 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.

domain is all the x values included in the

0 ≤ x ≤ 2

range is all the y values of the graph

-2 ≤ y ≤ 2

***keep in mind that there are different ways to show domain and range

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