Question

​
$2x + 3y = 10 \\ 3x + 2y = 20 \\ find \: x \: and \: y$
​

Answer 1

2x + 3y =10
2x=10-3y
X=10-3y
———
Y
Now,
In eq. 2,
3x+2y=20
So,
3(10-3y) +2y= 20
———
Y
Solve ahead and answer would come

Answer 2

Answer:

$x=8$ and $y=-2$

Step-by-step explanation:

As we have given the 2 linear equations with 2 variables we need to solve Them and find the value of x and y

So the given 2 equations are

1.$2x+3y=10$

2.$3x+2y=20$

So for solving these types of equations, We would do it by eliminating Method

First, Multiply 3 in equation 1 and multiply 2 in equation 2

Therefore the new equations would be

3.$6x+9y=30$

4.$6x+4y=40$

Now subtracting equation 2 from 1 we would get

$5y=-10$

$y=-2$

Now putting the value of y in equation 1

$2x-6=10$

$2x=16$

$x=8$