What is the solution of y=2x−1 and y−3=4x?

Answer 1

To find the solution for the system of equations:
1) y = 2x - 1
2) y - 3 = 4x

We can use the substitution method.

Substitute the expression for y from equation 1 into equation 2.

From equation 1, we have: y = 2x - 1

Substitute this expression for y in equation 2:

2x - 1 - 3 = 4x

Combine like terms:
-4 = 4x - 2x - 3

Combine like terms again:
-4 = 2x - 3

Add 3 to both sides:
-1 = 2x

Divide by 2:
-1/2 = x

Now we can substitute this value of x back into one of the original equations to find the value of y.

Using equation 1:
y = 2(-1/2) - 1
y = -1 - 1
y = -2

So, the solution to the system of equations is x = -1/2 and y = -2.