Respuesta :

So what they are trying to say is that they both have the same y-intercept. Easy!

Make y the subject:

5x - 2y = 3

2y = 5x - 3

y = 2.5x - 1.5

The y-intercept is -1.5.

Make y the subject:

x + y = a

y = -x + a

Therefore, a must be -1.5 !

facundo3141592

The system of linear equations has a solution on the y-axis only when a = -3/2

When the system has one solution?

We have the system of linear equations:

5x - 2y = 3

x + y = a

Now let's write both in slope-intercept form:

y = (-3/2) + (5/2)x

y = a - x

If we want the lines to intersect at the y-axis, then we will have x = 0, replacing that we get:

y = -3/2

y = a

So, for the system to be consistent, we must have a = -3/2.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

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