Question

How many solutions does this system have?

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

Answer 1

Answer:

One solution

Step-by-step 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