Solving the system of equations with substition?

Question

solve this equation: 3x + y = 16 and y = x + 4

use these steps and show it.

1. choose the equation that is solved for one variable and substitute it into the other equation.

2. distribute through the ()

3. combine like terms

4. solve for x or y

5. plug the answers for x or y into one of the equations to find the other variable.

Answer 1

1. first substitute y=x+4 into the eqaution where y is
3x+x+4=16
2. combine like terms
4x+4=16
3. subtract 4 from 16
4x=12
4. divide from fromeach side
x=3
to find the other variable which is y plug in 3 where x is in any of the two original equations.
1. 3x+y+16
3(3)+y=16
9+y=16
2. subtract 9 from both sides
y=7

Answer 2

1) plug in y=x+4 to first equation. 3x+(x+4)=16
2) 3x+x+4=16
3) 4x+4=16
4) 4x=12
x=3
5) y=3+4.
y=7

Answer 3

Let's use y = x+4 to substitute into the other equation.

Therefore

3x + (x + 4) = 16

4x + 4 = 16

x = 3

Plug the 3 into the second equation

y = 3+4
y = 7

To check our work using the first equation.

3(3) + 7 = 16

16 = 16

There you are! It checked out!
.

Answer 4

ok...
1. y=x+4
2(plug it in). 3x+(x+4)=16
3. 4x+4=16
4. 4x=12 (divide both sides) x=3
5. (plug x in y equation) y= (3)+4 y=7

Answer 5

3x+y=16
y=x+4

3x+x+4=16
4x+4=16
4x+4-4=16-4
4x=12
x=3

y=x+4
y=3+4
y=7

y=x+4
7=3+4

3(3)+7=16
9+7=16

Answer is x=3 y=7

Answer 6

Good job! You've already answered your own question.

You've got all the steps, just follow through them.

Answer 7

if u knew all teh steps to get to the answer then why didnt you solve it?