Answer : the value of (x - y) is 5
Step-by-step explanation:
To solve the given equation we can use the elimination method
Let ,
1. 3x - 2y = 10
2. 2x - 3y = 15
Multiply equation 1 by 2 by equation 2 by 3
2(3x - 2y = 10)
3(2x - 3y = 15)
The equation becomes,
- 6x - 4y = 20 ....1
- 6x - 9y = 45 ....2
Now Subtract equation 1 from 2
-9y -(-4y) = 45 - 20
Solving for y:
-9y + 4y = 25
-5y = 25
Divide both sides by -5,
y = -5
So the value of y = -5.
Now substitute the value of y into the original equation.
Solving for x:
3x - 2y = 10
3x - 2(-5) = 10
3x + 10 = 10
3x = 0
x = 0
We have to find the value of (x - y)
= 0 - (-5)
= 0 + 5
= 5
Hence, the value of (x - y) is 5
