3. Assertion: The two lines representing the two equations, x – 2y = 0 and 3x + 4y = 20 are intersecting at the point (4, 2)
Reason: Each solution (x, y) of a linear equation in two variables, ax + by + c = 0, corresponds to a point on the line representing the equation, and vice versa.
Answers
Answer:
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Step-by-step explanation:
Assertion:
The linear equations x−2y−3=0 and 3x+4y−20=0 have exactly one solution.
Reason:
The linear equations 2x+3y−9=0 and 4x+6y−18=0 have a unique solution.
A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion.
B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
C. Assertion is correct but Reason is incorrect.
D. Assertion is incorrect but Reason is correct.
The assertion is true and the reason is also true
Given the lines x-2y =0 and 3x+4y = 20, we need to find their solution
we will solve the equations 2(x-2y)=0 and 3x+4y=20
we get 5x= 20 that is x= 4, and y= 2
therefore, the two lines representing the two equations, x – 2y = 0 and 3x + 4y = 20 are intersecting at the point (4, 2).
Let an equation 2x+ 3y=5 have a solution be (1,1) therefore the point(1,1) will be present on the line 2x+3y=5 but if we say a point(3,2), it doesn't satisfy the equation and will not be present on the line as well.
so we can say that every solution of the equation will be present on line.
So it is true that each solution (x, y) of a linear equation in two variables, ax + by + c = 0, corresponds to a point on the line representing the equation, and vice versa.