How do you solve the following system?: 3x2y=5,4x+7y=3

1 Answer
Dec 23, 2015

x=2913 and y=4713

Explanation:

To solve this question there are a number of ways, the most basic being rearrangement and substitution.
To start off you would rearrange the top equation to get y by itself, to do this you would follow these steps
3x+3x2y=5+3x
Which gives the answer
2y=5+3x
Y isn't by itself yet so you would then:
2y2=5+3x2
Giving the answer
y=5+3x2

Now you must substitute this into the second equation, it would look like this:
4x+7[5+3x2]=3
You would then simplify to get:
8x35+21x=6
Which then simplifies to:
13x=32
Therefore x=2913

Then substitute the value of x into the equation where y=5+3x2
Which gives the answer:
y=4713