Question

x/2 + y/3 = 9
x/5 - y/4 = -1

Solve the simultaneous equation by eliminating method..​

Answer 1

Answer:

S.S= {(10,12)}

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

8x-10y= -40

15x+8x=270-40

23x=230

x=10

We now found x, let's find y:

3x+2y=54

3*10+2y=54

2y= 54-30

2y= 24

y=12

So, the answer is:

x=10 ; y=12