Solve the following pair of linear equations:

9x + 8y =42

3x – 2y = 0​

2 thoughts on “Solve the following pair of linear equations: <br /><br />9x + 8y =42 <br /><br />3x – 2y = 0​”

1. 1. 9x + 8y = 42 it is the not correct answer

   The answer 9x + 8y

   2. 3x – 2y = 3x – 2y

   Reply

2. Answer:

   9x + 8y =42——(1)

   3x – 2y = 0——–(2)

   first we have to see second pair in both equations

   the numbers are different so same the numbers first

   Explanation

   * Remember this *

   multiply equations by second two pairs example :

   9x + 8y=42 ——(1) by 2 in the second pair of second equation

   So,

   multiply equation (1) by 2,

   9x + 8y =42

   9x(2)+8y(2)=42×2

   18x+16y=84 ————(3)

   and

   for second equation the same but second is multiplied by first equation second pair number is 8

   So ,

   multiply equation (2) by 8,

   3x-2y=0 ——-(2)

   3x(8)-2y(8)=0×8

   24x-16y=0——-(4)

   Now you can see the both New equations (3) and (4)

   the second pair are same with the number “16”

   Now we have to add the both New equations

   Adding equation (3) by (4)

   24x-16y=0 —–(4)

   18x+16y=24 —-(3)

   – – = – …(change the Signs)

   ______________

   …( second term is get cancelled )

   42x = 24

   24

   x= —-

   42

   Now this can divisible by 2

   So,

   x=12/21

   Now this is divisible by 3

   x=4/7

   Substitute x=4/7 in equation No.(1)

   9x+8y=42

   [tex]9 \times \frac{4}{7} + 8y = 42[/tex]

   9×4/7+8y=42

   36÷7+8y=42

   36÷15y=42

   15y=42–36

   15y=6

   y=15/6

   therefore , (x , y)=(4/7,15/6)

   hope this is helps you thanks and check it out okk

   Reply