Question

solve the equation (1) 2x-y=17 (2) 3x+5y=6​

Answer 1

Solution:

2x-y=17...1

3x+5y=6...2

Multiply 1 by 5

10x-5y=85...3

Adding 2 and 3

10x -5y + 3x+5y=85+6

13x=91

x=7

By putting x=7 in ..1

2×7-y=17

y=14-17

=-3

So the value of x=7 and y=-3.

Answer 2

Solution:

By using the method of substitution,

First equation

Find "x"

2x - y = 17

=> x = 8.5 + 0.5y

Replace "x" in equation (2)

3x + 5y = 6

3 ( 8.5 + 0.5y ) + 5y = 6

Find "y"

22.5 + 1.5y + 5y = 6

22.5 + 6.5y = 6

6.5y = -19.5

.°. y = -3

Putting the value of "y" in equation (1)

2x + (-1)(-3) = 17

2x + 3 = 17

2x = 14

.°. x = 7