Question

How many solutions are there for the following
system of equations?
y= X - 5x+3
y= X- 6

Answer 1

To find the number of solutions, we can set the two equations equal to each other because they both equal y:

X - 5x + 3 = X - 6

Subtracting X from both sides gives us:

-5x + 3 = -6

Subtracting 3 from both sides gives us:

-5x = -9

Dividing by -5 gives us:

x = 9/5

Now we can plug this value of x into either of the original equations to find the corresponding y value. Using the second equation, we get:

y = (9/5) - 6 = -21/5

Therefore, there is only one solution to this system of equations: (9/5, -21/5).