Question

Fine the solution for this system of equations 12+15y=34 -6x+5y=3
X= ?
Y=?

Answer 1

x = 5/6

y = 8/5

Explanation:

12x+ 15y = 34

-6x + 5y = 3

multiply the second equation by 2

2*(-6x + 5y) = 3*2

-12x + 10y = 6

add the 1st equation and the modified 2nd equation (elimination)

12x+ 15y = 34

-12x + 10y = 6

---------------------

25y = 40

divide by 25

25y/25 = 40/25

y = 40/25 = 8/5

12x + 15y = 34

substitute y = 8/5

12x +15(8/5) = 34

12x +24 = 34

subtract 24 on each side

12x = 10

divide by 12

x = 10/12 = 5/6

Answer 2

x = 5/6

y = 8/5

Explanation:

12x+ 15y = 34

-6x + 5y = 3

multiply the second equation by 2

2*(-6x + 5y) = 3*2

-12x + 10y = 6

add the 1st equation and the modified 2nd equation (elimination)

12x+ 15y = 34

-12x + 10y = 6

---------------------

25y = 40

divide by 25

25y/25 = 40/25

y = 40/25 = 8/5

12x + 15y = 34

substitute y = 8/5

12x +15(8/5) = 34

12x +24 = 34

subtract 24 on each side

12x = 10

divide by 12

x = 10/12 = 5/6