Question

2x + y =20
6x - 5y = 12
Solve as a whole number

Answer 1

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 2

x = 7, y = 6

(7,6)

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!