what is the solution to the linear equations
3x + 4y = 18
x + 3y = 11

Question

what is the solution to the linear equations  
3x + 4y = 18
x + 3y = 11

anonymous · Answer

You have to find a number divisible by, 3 and 4.
The top has to be positive, the bottom, negative.

shane_b · Answer

I can walk you through this one if you want to learn how it's done

anonymous · Answer

ya that would be awesome

shane_b · Answer

Ok....this one is pretty simple.  First look at the equations.  Note that the second equation has an x term all by itself.  That's what makes this one easier.  Can you put that equation in terms of x?

shane_b · Answer

(hint: move 3y to the other side)

anonymous · Answer

x = 11 * 3y

shane_b · Answer

Close but not multiplication.  To clear it from the left side you need to subtract it from both sides.  That will leave you with:
$$x=11-3y$$

shane_b · Answer

Now insert that equation anywhere you see an "x" in the first equation...to get this:
$$3(11-3y)+4y=18$$

shane_b · Answer

Now solve for y...you should end up with y=3.

shane_b · Answer

Now that you know what y is equal to, plug it back into either one of the equations and solve for x.  That's it :)

anonymous · Answer

thanks

shane_b · Answer

no problem...good luck!