To solve the system of equations, we have:
- Equation 1: 2x + y = 7
- Equation 2: y = 2x + 3
We can start by substituting the value of y from Equation 2 into Equation 1. This gives us:
2x + (2x + 3) = 7
Simplifying this equation:
2x + 2x + 3 = 7 4x + 3 = 7 4x = 7 - 3 4x = 4 x = 1
Now that we have the value of x, we can substitute it back into Equation 2 to find y:
y = 2(1) + 3 y = 2 + 3 y = 5
So, the solution to the system of equations is:
- x = 1
- y = 5
In conclusion, the solution to the system of equations is (1, 5).