5x + 3y =9 and 2x -3y = 12 find the value of x = ?
Answers
Given :-
Equation of line , 2x - 3ky = 6
point(3,-2) lies on the given line
Find :-
Value of k
Explanation
Let,
Point (3,-2) lies to line on the A point.
Its means that, this point satisfied of the given equation of line.
So, keep , x = 3 & y = -2 in given equation
2 × 3 - 3k × (-2) = 6
6 - 6k = 6
6k = 6 - 6
6k = 0
k = 0/6
➡k = 0
Hence
Value of k be = 0
Complete Question :
›»› 5x + 3y = 9 and 2x - 3y = 12 find the value of x and y = ?
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Given :
- 5x + 3y = 9
- 2x - 3y = 12
To Find :
- The value of x and y = ?
Required Solution :
In the above Question, we have to find the value of x and y So, firstly we have to Both given elements have to be considered as equation 1 and equation 2. And then we have to add equation 1 and 2 Then, we can frame equation to get the result of x and y
5x + 3y = 9 .....(1)
2x - 3y = 12 .....(2)
So let's start solving the equation and understand the steps to get our final result for x. and y.
Adding equation (1) and (2)
⇛ 5x + 2x = 9 + 12
⇛ 7x = 9 + 12
⇛ 7x = 21
⇛ x + 21/7
⇛ x = 3
Put the value of x in equation (2)
⇛ 2x - 3y = 12
⇛ 2 × 3 - 3y = 12
⇛ 6 - 3y = 12
⇛ 3y = 6 - 12
⇛ 3y = -6
⇛ y = -6/3
⇛ y = -2
║Hence, the value of x is 3 and the value of y is -2.║