Question

16. 6x + 5y = 7x+3y +1 = 2(x + 6y - 1) ​

Answer 1

Answer:

The value of x is 3 and y is 2.

Step-by-step explanation:

Given :6x+5y=7x+3y+1= 2(x+6y-1)6x+5y=7x+3y+1=2(x+6y−1)

To Find : Value of x and y

Solution:

6x+5y=7x+3y+16x+5y=7x+3y+1

x-2y+1=0x−2y+1=0 ---- 1

6x+5y= 2x+12y-26x+5y=2x+12y−2

4x-7y+2=04x−7y+2=0 ----2

Solve 1 and 2

Substitute the value of x from 1 in 2

4(2y-1)-7y+2=04(2y−1)−7y+2=0

8y-4-7y+2=08y−4−7y+2=0

y-2=0y−2=0

y=2y=2

Substitute the value of y in 1

x-2(2)+1=0x−2(2)+1=0

x-4+1=0x−4+1=0

x=3x=3

Hence the value of x is 3 and y is 2.