Solve the following system of equations.
x - y = 16
2x + y = 2
Help me, please.

Question

Solve the following system of equations.
x - y = 16
2x + y = 2
Help me, please.

anonymous · Answer

x - y = 16
   + y    + y
x = 16 + y
2(16 + y) + y = 2
32 + 2y + y = 2
32 + 3y = 2
-32        -32
3y = (-30)
--    ----
3         3
y = (-10)

anonymous · Answer

x - y = 16
x - 10 = 16
   + 10   + 10
x = 26

anonymous · Answer

So, the solution is:
(26, -10)
Is that one of your answer choices?

anonymous · Answer

there is no choices, its one of those written responces.

anonymous · Answer

Wait, don't turn that last answer in. I messed up!!!

anonymous · Answer

okay.

amistre64 · Answer

....just as a side note tho; x not equal 26

amistre64 · Answer

what methods do you know of to solve a system of equations?

anonymous · Answer

substitution.. a little bit.

amistre64 · Answer

substitution is fine, but its sooo labor intensive.  I perfer elimination

amistre64 · Answer

notice that the y values have different signs, which means if we add these equations together, we cancel out the ys

  x - y = 16
2x + y =   2
-----------
3x + 0 = 18

can you solve for x now?

anonymous · Answer

if i were to do elimination, would i multiply the top equation by 2?

amistre64 · Answer

you could multiply the top by -2, that would be suitable; but the ys are already primed for elimination :)

anonymous · Answer

x=6?

amistre64 · Answer

correct, x=6

amistre64 · Answer

since x=6

lets use the top, since its structure is simpler

x - y = 16 ; x=6

6 - y = 16

can you find y now?

anonymous · Answer

-y=10. how do you get rid of the -y?

amistre64 · Answer

multiply both sides by -1

anonymous · Answer

ah, so its y=-10.

amistre64 · Answer

good, now lets check that in the 2nd equation :)

2(6) + (-10) = 2
 12   -   10  = 2 ; i like it

anonymous · Answer

The solution is (6,-10).
Sorry for taking so long @alienababy

amistre64 · Answer

John, we perfer to study thru to a solution on this site.  Helps people to get more confident in their abilities to solve the problems in general

amistre64 · Answer

but i do agree, that answer is (6,-10)  ;)

anonymous · Answer

so i got the answer ? :)

anonymous · Answer

Thanks for the hint @amistre64. But my names not John because I'm a girl and I mixed my name and my friends name together. But @alienababy just got stuck and she figured all the other problems out herself.!

amistre64 · Answer

you got it

anonymous · Answer

Yes, @alienababy. I told you, you were a math genius. You just needed the right motivation!

anonymous · Answer

thankyou @amistre64 && @Johnjakile1998

anonymous · Answer

any more questions?

amistre64 · Answer

good luck ;)

anonymous · Answer

nope. :)