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28 votes
28 votes
3x - y = 2 and 2x + y = 4
X=
y =

User Jarle Hansen
by
2.9k points

1 Answer

20 votes
20 votes

Answer:

x=6/5

y= 8/5

Explanation:

This is a system of equations, and you can solve it in different methods.

The method I chose was substitution

If you rearrange the 1st equation, you find that y=3x-2

You can substitute that into the second equation

This is how it will look like:

2x+3x-2=4

Now you can simplify the equation to 5x-2=4

Bring the 2 to the other side

Now the equation looks like this:

5x=6 ===> x=6/5

Now substitute this value in the first equation.

This is how it will look like:

3(6/5)-y=2

Now you can simplify the equation to 18/5-y=2

Bring the 2 to the other side and do the same for y

The equation will look like this:

18/5-2=y ===> y=18/5-2

Now subtract

You will get:
y= 8/5

User Vineeth Mohan
by
2.7k points