asked 67.4k views
5 votes
8x - 2 - 5x + 7 = __x + __Fill in the blanks to get an equation that has no solutions

asked
User Sarra
by
8.1k points

1 Answer

3 votes

In order for the equation to have no solution, the equations from left and right must be parallel lines, that is, they must have the same angular coefficient and different linear coefficients.

To solve this question, follow the steps below.

Step 01: Add similar terms (left side).


\begin{gathered} 8x-2-5x+7 \\ 8x-5x-2+7 \\ 3x+5 \end{gathered}

Thus,


3x+5=ax+b

Step 02: Find a and b.

The equations must have the same angular coefficient.

Thus, a = 3.

The equations must have different linear coefficients.

Thus, b ≠ 5.

A possible answer is:


3x+5=3x+9

There is not only one answer. All the answering in which a = 3 and b is a number different of 5 are correct.

answered
User Keyadun
by
8.3k points

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