Question

How many solutions does this system have?

y = 3x-5
y = -x+4
one
two
an infinite number
no solution

Answer 1

the solution is (9/4, 7/4)

One solution.

Explanation:

As y is common to both equations:

3x - 5 = - x + 4

4x = 9

x = 9/4

y = (-9/4) + 4 = 7/4.

Answer 2

one

Explanation:

3x-5=-x+4

x=9/4

y=7/4

(9/4, 7/4)