Answer:
x=6, y=3
Step-by-step explanation:
6x +2y=42------(1)
8x-4y=36-------(2)
We can actually simplify it, this makes it easier to do and can avoid alot of careless mistakes
3x+y=21---(1)
2x-y=9----(2)
next, we can see that y can be eliminated
(1)+(2),
5x=21 +9
x = 30/5
x=6
substitute x=6 into (2),
2(6)-y=9
y=3
Lastly ,make a conclusion
Thus, x=6, y= 3
[tex] 6x + 2y = 42 \\ 8x - 4y = 36[/tex]
Simplify the first equation
[tex]y = 18 \\ 8x - 4y = 36[/tex]
Multiply both sides of second equation by 1/4
[tex]y = 18 \\ 2x - y = 9[/tex]
Sum the equations vertically to eliminate at least one variable
[tex]x = \frac{27}{2} [/tex]
The possible solution of the system is the ordered pair (x,y)
[tex] (x,y) = ( \frac{27}{8} , 18)[/tex]
