Answer:
(2,4)
Step-by-step explanation:
One way to solve a system is called substitution. Because one of the equations is set up in a way where we know what Y equals in terms of X we can plug that into the other equation for Y and then we can solve for X because we will then only have one variable. Since the second equation tells us that y is equal to 2x we will plug 2x into the first equation where we see Y and that gives us
4x+2x =12
now we can combine and solve for x
6x=12
x=2
and now that we have 2 we can plug that back into the second equation and solve for y
2 times 2 = y
y=4 so the answer is (2,4)
I hope this helps and please don't hesitate to ask if there is anything still unclear!
4x + y = 12
y = 2x
4x+2x=12
6x=12
divide by 6 for both sides
6x/6=12/6
Cross out 6 and 6, divide by 6 and then becomes 1*1*x=x
x=2
4x+y=12
4(2)+y=12
8+y=12
Move 8 to the other side. Sign changes from +8 to -8.
8-8+y=12-8
y=4
Answer: 2,4
