2x+3y=15

x+y=6

work out the values of x and y

x = 3

y = 3

Step-by-step explanation:

2x + 3y = 15

x + y = 6

2x + 3y = 15

x (-3) + y (-3) = 6 (-3)

2x + 3y = 15

-3x - 3y = - 18

Add:

2x + 3y = 15

-3x - 3y = - 18

- x = - 3

x = 3

Substitute x to any of the equation:

x + y = 6

3 + y = 6

y = 6 - 3

y = 3

x=3

y=3

Step-by-step explanation:

x = 6-y

-plug in (6-y) into first equation

2 (6-y) + 3y = 15

12-2y+3y=15

-2y+3y = 3

y=3

x=6-3

x=3

double check:

(2*3) + (3*3) = 6 + 9 = 15

3 + 3 = 6