What is the solution of the system x + y = 5 and 2x - 3y = - 4
To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution:
From the first equation, we can rewrite it as x = 5 - y.
Substituting this value of x into the second equation, we get:
2(5 - y) - 3y = -4
10 - 2y - 3y = -4
10 - 5y = -4
-5y = -14
y = 2.8
Now, substitute this value of y back into the first equation to find x:
x + 2.8 = 5
x = 5 - 2.8
x = 2.2
Therefore, the solution to the system of equations is x = 2.2 and y = 2.8.