+118613 the second answer (2,8) is the correct one. Thanks anon 2
Thank you also anon1 for you effort. I like everyone to have a go. It would have been good if you had checked by plugging your numbers back into the original equation to see if they were both true.
Look for your error if you want help finding it let us know. :)
2x+5y=44 y=6x-4 First you need to get x and y on the same side in both equations.
y=6x-4 => 0=6x-4-y => 4=6x-y Then you multiply the first equation by 3.
2x+5y=44 => 6x+15y=264 Next subtract the second equation from the first.
6x+15y=264
- 6x-y=4
16y=260 Divide each side by 16 => y=16.25
Plug y back into the equation and solve for x => 2x+5(16.25)=44 => 2x+81.25=44 => 2x=-37.25
x=-18.625 y=16.25
Firstly, what you want to do is to turn both of the equations into the same form. In this case, we'll be using standard form. We end up with -6x+y=-4. We can then begin to use elimination to solve the problem. Now, I'm hoping you actually learned how to do elimination so that this next part will make sense.
In order to solve the problem, we need to isolate one of the variables, x or y. In order to do so, we need to make the x's or y's from both equations opposites. In this situation, we'll rid of the x's. Because one of the equations has a negative and the other has a positive, that part of making the numbers opposite is complete. However, we still need to make them the same number to make them truly opposite. So, we need to multiply the equations to make the x's equal. Luckily, for this problem, we only need to multiply one of the two equations.
We firstly multiply this one by three to make the 2 equal 6.
3(2x+5y=44)=6x+15y=132
Now that the 6's are opposites, we can now proceed with the rest of the problem
6x+15y=132 Now we will we will add the terms together.
-6x+y=-4 6x+(-6x)=0 15y+y=16y 132-4=128
Now put those back into the equation. Because there is no more x, we are left with:
16y=128 Simply divide 128 by 16 and you get 8. Hence, y=8. However, this is only the first part of the problem. We now use the y to find the x by putting the value of y back into the equation made previously. To keep it simple, let's use -6x+y=-4. Put the value of y, 8, back into the equation and solve.
-6x+8=-4 x=2
So, now that we know x, the point at which the two lines cross is at: (2, 8)
I hope I did this right and that it helps. Good luck!!! 
+118613 the second answer (2,8) is the correct one. Thanks anon 2
Thank you also anon1 for you effort. I like everyone to have a go. It would have been good if you had checked by plugging your numbers back into the original equation to see if they were both true.
Look for your error if you want help finding it let us know. :)
