Question

How many solutions does this system have?

y=5x-1
y=-3x+7

Answer 1

One solution

Explanation:

We have the system

`y=5x-1\\y=-3x+7`

To solve the system, equate both equations and solve for the variable x.

`5x-1= -3x+7\\\\5x + 3x = 7 +1\\\\8x = 8\\\\x=1`

Now substitute the value of x in any of the two equations and solve for the variable y.

`y=5(1)-1`

`y=4`

Finally the system of equations has one solution