Question

Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.

3x+y=10
y=x-2

Answer 1

My favourite.
K so what you do is very simple.

you have two equation, label them as (1) and (2).
3x+y=10 (1)
y = x+ 2 (2)

Substitute (2) into (1)

Try it.

Answer 2

Do you know how to substitute?

Answer 3

no i suck at algerbra

Answer 4

substitute 2 into 1; 3x+x-2=10
4x=12
x=3

Answer 5

alright so this is what you do.

3x+y = 10 (1)
y = x+2 (2)

Substitute (2) into (1)
3x + (x+2) = 10
4x + 2 = 10
4x = 10 -2
4x = 8 *Divide both sides by 4*
x = 2

Answer 6

that is your x value. Now for your y value you do the same thing.

Substitute x = 2 into (1)
3x + y = 10
3(2) + y = 10
6 + y = 10 *Subtract 6 from both sides*
y = 4

Answer 7

Therefore your ordered pair is (2,4). This is the point of intersection :)

Answer 8

@OrthodoxMan y=x-2 :)

Answer 9

@josiahh thanks man i cant believe i couldnt read that

Answer 10

well then Josiah is right about the x value.
Substitute x = 3 into (1) and you get

3x + y = 10
3(3) = y = 10
y = 10 - 9
y = 1

Therefore the ordered pair is (3,1)