Question

Solve the following system of equations. Please show me how to do it in Substitution method.

x - y = 10
2x + y = 2

Answer 1

solve the first equation for x

x - y = 10

x - y+y = 10+y

x = 10+y

Answer 2

Then replace x in the second equation with 10+y (since x = 10+y)

So

2x + y = 2

turns into

2(10+y) + y = 2

Answer 3

now solve 2(10+y) + y = 2 for y

once you have the value for y, you can plug it into x = 10+y to get x

Answer 4

Im gettin it so far.

Answer 5

ok great, tell me what you get when you solve for y

Answer 6

We have
x−y=10

and
2x+y=2

Let's add both the equations, this will eliminate y
x−y+2x+y=12

x−y+2x+y=12

3x=12

divide both sides by 3
we get
x=4

Now use first equation x−y=10 , let's substitute x=4 here
4−y=10

subtract both sides by 4 , we get
−y=6

we get
y=−6

Here we have used elimination method because it was easy to apply here. We just added the two equations to eliminate y and were able to find x

Answer 7

Ohh okay, the problem says to use the easier way of solving so I though Substitution was easier.

Answer 8

it depends on the problem and which one you think is easier. Some find elimination easier, while others find graphing easier.

Answer 9

Oh okay so y = -6 ?

Answer 10

yup.

Answer 11

Okay I got it, thanks for the help. :)

Answer 12

good so if y = -6, then x = ???

Answer 13

np(: and @jim_thompson5910 was right too(:

Answer 14

this question is directed toward 24HourDiet

no offense seiga (It looks like you know this stuff well, which is awesome)

Answer 15

x = 4

Answer 16

Both of yall are awesome lmao.

Answer 17

x =10+y

x = 10 + (-6)

x = 10 - 6

x = 4

So you are correct

Answer 18

lol not that awesome...