Find the solution to the system of equations by using either graphing or substitution.
y=2x-1 and y=x+3
A) (4,7)
B) (7,4)
C) (-7, -4)
D) infinite solutions
To solve this system of equations, we can use the substitution method:
We are given the equations:
1) y = 2x - 1
2) y = x + 3
We can substitute the expression for y in equation 2) with the expression for y in equation 1):
2x - 1 = x + 3
Now, we can solve for x:
2x - 1 = x + 3
2x - x = 3 + 1
x = 4
Now that we have found the value of x, we can substitute it back into one of the original equations to find y. Let's use equation 1) for this:
y = 2(4) - 1
y = 8 - 1
y = 7
Therefore, the solution to the system of equations is (4, 7), which corresponds to answer choice A).