Question

Y = 5x – 1

Answer 1

Answer:

Option 1 - There is one solution : (0,-1)

Step-by-step explanation:

Given : The system of equations  $y=5x-1$ and $-15x-3y=3$

To find : How many solutions does this linear system have?

Solution :

Let Equation (1), $y=5x-1$

Equation (2), $-15x-3y=3$

Applying substitution method,

Substitute y from equation (1) into (2),

$-15x-3y=3$

$-15x-3(5x-1)=3$

$-15x-15x+3=3$

$-30x=0$

$x=0$

Substitute in equation (1),

$y=5x-1$

$y=5(0)-1$

$y=-1$

Therefore, There is one solution : (0,-1)

So, Option 1 is correct.

Answer 2

Y=5x-1
-15x-3y=3
-15x-15x+3=3
-30x=0
x=0
therefore y=5x0 -1= -1
so one solution(0,-1)