Question

1 by 3 X + 1 by 4 Y + 1: 1 by 5 X + 1 by 2 Y = 4 by 15

Answer 1

Given: Two equations 1/3x + 1/4y = -1 and 1/5x + 1/2y = 4/15

To find: Solve the given equations.

Solution:

• Now we have given two equations

                    1/3x + 1/4y = -1  .......................(i)

                    1/5x + 1/2y = 4/15  .........................(ii)

• Solving together: (i) - 1/2 x (ii)

                    1/3x    +  1/4y  =  -1

                    -1/10x  -  1/4y  =  - 4/30

                    (1/3 - 1/10)1/x = -1 - 4/30

                    (10 - 3 / 30)1/x = -30 - 4 / 30

                    7/30x = -34/30

                    x = -34 x 30 / 30 x 7

                    x = -34/7

• Putting x = -34/7 in (i), we get:

                    1 x 7/3(-34) + 1/4y = -1

                    1/4y = -1 + 7/102

                    1/4y = -102 + 7/102

                    1/4y = -95/102

• Reciprocating it, we get:

                    4y = -102/95

                    y = -102/95x4

                    y = -51/95x2

                    y = -51/190

Answer:

                 So the value of x is -34/7 and y is  -51/190.

Answer 2

Answer:

1/3(x-2)+1/4(x+3)=1/5(x+4)+15