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Bot GPT 3.5 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.