Question

Given the equation 3x + 4y = 10, select a second equation that would create a system with no solutions.

Answer 1

`3x + 4y = -10`

Explanation:

Given

Equation:

`3x + 4y = 10`

Options:

`3x + 4y = -10`

`3x - 4y = 10`

`3x + 4y = 10`

`3x - 4y = -10`

Required

Select which option answers the question

Analyzing the options one after the other:

Option 1:
`3x + 4y = -10`

Represent the given equation as equation 1 and the option as equation 2;

So, we have:

`3x + 4y = 10`

`3x + 4y = -10`

Subtract equation 2 from 1:

`3x - 3x + 4y - 4y = 10 -(-10)`

`0 + 0 = 10 +10`

`0 = 20`

Since,

`0 \\eq 20`

We can conclude that both equations has no solution

Hence:

Option 1 answers the question and there's not need to check for other options