Question

Y=5x – 1

–15x – 3y=3
How many solutions does this linear system have?

one solution: (0, –1)
one solution: (1, 4)
no solution
infinite number of solutions

Answer 1

This linear system has one solution: (0,-1).

Step 1: y = 5x - 1

Step 2: 15x - 3(5x - 1) = 3
-15x - 15x + 3 = 3
-30x + 3 = 3
- 3 - 3
----------------------
-30x = 0
-------- ------
-30 -30

x = 0

Step 3: y = 5(0) -1
y = 0 - 1
y = -1