how many solutions do you get from this system of equations. y=3(x-1) -y+3x=3

Question

mathstudent55 · Answer

Can you solve both equations for y and simplify the right side?

anonymous · Answer

me

mathstudent55 · Answer

yes

anonymous · Answer

ok

anonymous · Answer

Can you please help i dont understand it AT ALL. Please help i will give medal. @mathstudent55

mathstudent55 · Answer

Let's take the first equation: 
y = 3(x - 1)
We can simplify the right side using the distributive property.
y = 3x - 3   We stop here with the first equation.
The second equation is:
-y + 3x = 3

mathstudent55 · Answer

Now we solve the second equation for y.
We subtract 3x from both sides:
-y = -3x + 3
Now we multiply both sides by -1:
y = 3x - 3 We stop here with the second equation.

mathstudent55 · Answer

Now we look at both equations:
y = -3x + 3
y = -3x + 3
Both equations are the same equation.
When this happens, there is an infinite number of solutions.
Any point on line y = -3x + 3 is a solution, and there are infinite points on the line.