Question

Write a system of equations with the solution (4,-3)

Answer 1

y = 3x-15 and y = x-7

Explanation:

We are asked to write a system of equations with the solution (4,-3)

It is sufficient if we find two lines passing through this point.

Let us take first line as with slope 3.

Then the equation would be of the form

y-y1 = m(x-x1)

y+3 = 3(x-4)

Or y = 3x-15 is one line

Let second line have slope 1

y+3 = 1(x-4)

y = x-7

Now we have two systems of equations as

y = 3x-15 and y = x-7