Question

x÷2+y÷3=9 x÷5-y÷4=-1 find the value of x and y​

Answer 1

Answer:

x=230/27 and y=128/9

Step-by-step explanation:

First, lets simplify and get rid of fractions:

• x/2+y/3=9=> 3x/6+2y/6=9=> 3x+2y =9*6 => 3x+2y=54

• x/5-y/4= -1 => 4x/20- 5y/20= -1 => 4x-5y= -1*20=> 4x-5y= -20

Now, in order to substitute y, let's multiply first equation by 5 and the second equation by 2, then add up the two equations:

• 15x+10y=270
• 12x-10y= -40
• 15x+12x=270-40
• 27x=230
• x=230/27

We now found x, let's find y:

• 3x+2y=54
• 3*230/27+2y=54
• 2y= 54- 230/9
• 2y= 256/9
• y=128/9

So, the answer is:

x=230/27 and y=128/9

Answer 2

Step-by-step explanation:

x

2

y

3

.6x

5

y.9x

3

y

4

It can be written as

=6×9×x

2+5+3

×y

3+1+4

On further calculations

=54×x

10

y

8