What is the solution to the following system of equations? 2x+3y=4 x+y=3

(5, - 2)

Step-by-step explanation:

x + y = 3 can become x = 3-y

we are going to use substitution

now plug x = 3-y into the other equation

2 (3-y) + 3y = 4

6-2y+3y = 4

6 + y = 4

subtract 6 from both sides

y = - 2

now plug in y back into one of the equations, it doesn't matter which one. I am going to use the x + y = 3 equation

x - 2 = 3

x = 5