Question

A system of two linear equations has no solution. The first equation is -7x + y = 3. select the second equation that will make this system have no solution.

A. 3x+y=3
B. -7x+y=-10
C. 3x+y=-7
D. 4x+y=3

Answer 1

It's B.

Explanation:

To make the given system of linear equations have no solution, we need the second equation to be inconsistent with the first equation. This means that the two equations must be parallel lines, and they cannot intersect at any point.

We can see that the first equation -7x + y = 3 has a slope of 7, since it can be written in slope-intercept form as y = 7x + 3. Therefore, to create a parallel line with the same slope of 7, we can choose the second equation to be:

B. -7x + y = -10

This equation has the same slope of 7 as the first equation, but it intersects the y-axis at a different point (-10 instead of 3). Therefore, the two lines are parallel and do not intersect, so the system of equations has no solution

Hope this helps you! I'm sorry if it doesn't. If you need more help, ask me! :]