1.
2x + y = 20 (multiply this equation by 5 in order to get rid of y by addition of both equations)
6x - 5y = 12
2.
10x + 5y = 100
6x - 5y = 12
(add both equations to get the below equation)
16x = 112
3. Do simple math:
x = 112/16
x = 7
4. plug in the x (7) into the first equation
2x + y =20
2*7 + y = 20
14 + y = 20
y = 6
(x, y)
answer: (7,6)
Answer:
x = 7, y = 6
(7,6)
Step-by-step explanation:
2x + y =20
6x - 5y = 12
2x + y = 20
-2x -2x
y = -2x + 20
6x - 5y = 12
6x - 5(-2x + 20) = 12
6x + 10x - 100 = 12
16x - 100 = 12
+ 100 +100
16x = 112
/16 /16
x = 7
Now, we solve for y:
2x + y = 20
2(7) + y = 20
14 + y = 20
-14 -14
y = 6
(x, y) -> (7,6)
Hope this helps!
