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yarga [219]
3 years ago
15

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

Mathematics
1 answer:
schepotkina [342]3 years ago
4 0

Answer:

(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

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