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Solve the system of equations 3x - 2y = 8 x-2y = 4​

1 Answer

10 votes

Answer: (2, -1), or x = 2 and y = -1

By graphing:

We can solve by graphing. See attached.

-> The solution is the point of intersection. The lines intersect at (2, -1) which means x is equal to 2 and y is equal to -1.

By substituting:

We can solve this by substituting. It means we will substitute one equation into the other, then solve for the variables.

3x - 2y = 8

x - 2y = 4​ -> x = 2y + 4

-

3x - 2y = 8

3(2y + 4) - 2y = 8

6y + 12 - 2y = 8

4y = -4

y = -1

-

x - 2y = 4​

x - 2(-1) = 4​

x + 2 = 4

x = 2

Solve the system of equations 3x - 2y = 8 x-2y = 4​-example-1
User Andrew Jens
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