Question

solve the linear equation using elemination method. : 3x/2-5y/3=-2 and x/3 + y/2= 13/6​

Answer 1

Answer:

the value of x will be 17/9 and value of y will be 3

I hope this will be helpful for you

Answer 2

Answer:

x=3.53 and y=1.98

Step-by-step explanation:

As we have given in the question there are 2 equations

1.$\dfrac{3x}{2}-\dfrac{5y}{3}=-2$

2.$\dfrac{x}{3}+\dfrac{y}{2}=\dfrac{13}{6}$

We have to solve these equations by elimination method, For do the same first we need to simplify equation in 1 line.

simplifying equation 1

$\dfrac{9x-10y}{6}=-2$

3.$9x-10y=-12$

Now simplifying equation 2

$\dfrac{2x+3y}{6}=\dfrac{13}{6}$

4.$2x+3y=13$

Now if see both equations i.e. 3 and 4 we have to multiply equation  4 by 10 and equation 3 by 3 to eliminate y

Therefore after multiplying

5.$27x-30y=-36$

6.$20x+30y=130$

Now adding both of these equations

$47x=166$

$x=3.53$

No putting value of x in any of these above equation let's say in equation 4

Therefore $y=\dfrac{13-2x}{3}$

$y=\dfrac{13-2\times3.53}{3}$

$y=1.98$