Answer:
x = 2
y = 5
Explanation:
A system of equations is a set of two or more equations that contain multiple variables. To solve a system of equations, you can use different methods such as substitution, elimination or graphing.
The given system of equations is:
y = 2x + 1
y = x + 3
We are trying to find the x and y values that make both equations true at the same time.
One way to solve this system is to use the substitution method, by replacing one of the variables in one equation with the other equation.
Let's replace y from the second equation with the first equation:
x + 3 = 2x + 1
Subtract x from both sides:
3 = x + 1
Subtract 1 from both sides:
2 = x
Now that we have the value of x, we can substitute it back into either one of the original equations to find the value of y.
Let's substitute it back into the first equation:
y = 2(2) + 1
y = 5
So the solution to this system of equations is x = 2 and y = 5. It means that both equations are true when x = 2 and y = 5
You can also check your solution by substituting x and y back into the equations and see if both of them are true.