To solve the system of equations, we can use the method of substitution or elimination.
Let's start by solving the first equation for x:
2x + y = 5y = 5 - 2x
Now substitute this value of y into the second equation:
7x + 8(5-2x) = 227x + 40 - 16x = 22-9x + 40 = 22-9x = -18x = 2
Now that we have found the value of x, we can substitute it back into the first equation to find y:
2(2) + y = 54 + y = 5y = 1
Therefore, the solution to the system of equations is x = 2 and y = 1.
To solve the system of equations, we can use the method of substitution or elimination.
Let's start by solving the first equation for x:
2x + y = 5
y = 5 - 2x
Now substitute this value of y into the second equation:
7x + 8(5-2x) = 22
7x + 40 - 16x = 22
-9x + 40 = 22
-9x = -18
x = 2
Now that we have found the value of x, we can substitute it back into the first equation to find y:
2(2) + y = 5
4 + y = 5
y = 1
Therefore, the solution to the system of equations is x = 2 and y = 1.