Question

What is the solution to the system of equations?
y=2x+6

3x-y=6

Answer 1

substitute 2x+6 for y into second equation and solve for x

Answer 2

y=2x+6

3x-y=6

substitute:
3x-(2x+6)=6

solve for x

Answer 3

12?

Answer 4

yes

Answer 5

so 12 is the answer?

Answer 6

x is 12.
you also have to find y
use
y=2x+6
and replace x with 12

Answer 7

y=30?

Answer 8

Alex used "substitution" for this problem. If we use "eliminattion"
we would write both equations in standard form:
y=2x+6 becomes
-2x + y = 6

now add the two equations
-2x + y = 6
3x - y= 6
x +0 = 12
or x=12

and for y: -2x+y= 6 with x=12 we get
-2*12 + y= 6
-24+y= 6

add 24 to both sides
y= 30

Answer 9

the answer is (12,30)

Answer 10

Thank you so much! :)