Write a system of two equations using x and y in each for the following.

The sum of two numbers is 170 and their difference is 26. Find the two numbers.

Question

Write a system of two equations using x and y in each for the following.

The sum of two numbers is 170 and their difference is 26. Find the two numbers.

anonymous · Answer

no u

anonymous · Answer

lol

anonymous · Answer

pleeeeeaseeeeeeeeeee? I am having to retake all this :p And i dont remember a thing!! Its from the begining of the year :P

anonymous · Answer

x+y=170
x-y=26
__________
So
x=26+y
26+y+y=170 solve for y, plug and chug the first eqn to get x

anonymous · Answer

wat???

anonymous · Answer

woops messed up.

anonymous · Answer

O.o

anonymous · Answer

i don't get it

anonymous · Answer

nvm no I didn't

anonymous · Answer

You know that x and y together are 170
You know the difference is 26
So you know x or y being added to 26 is y or x respectively (doesnt matter)
So you sub that into your first eqn.
Then solve.

anonymous · Answer

$$x+y=170$$
$$x-y=26$$ add to get 
$$2x=196$$
$$x=148$$

anonymous · Answer

x+y=170 and y-x=26
y-x=26
y=26+x
x+26+x=170
2x=170-26
2x=144
x=72
x+y=170
72+y=170
y=170-72
y=98

anonymous · Answer

that is the correct answer:)

anonymous · Answer

and since $$x=148$$ 
$$148+y=170$$
$$y=170-148=22$$

anonymous · Answer

oops sorry

anonymous · Answer

$$\frac{196}{2}=98$$you are correct and i am wrong.

anonymous · Answer

thank you satellite73. it is okay.

anonymous · Answer

sometimes i have a hard time dividing by 2!

anonymous · Answer

lol, that is why, being careful will help us arrive to the answer correctly.