Two roads cross each other these two roads represent the pair of linear equations let the pair of linear equations be represented by the roots is given by X equal to 4 and Y equal to 3
Question
Point of intersection of the pair of linear equations x=4 and y=3
(4, 0)
(3,4)
(4, 3)
(3, 3)
Answers
Answer:
(4,3) is answer
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Given: Two roads cross each other. These two roads represent the pair of linear equations. Let the pair of linear equations be represented by the roots is given by x equal to 4 and y equal to 3.
To find: Point of intersection of the linear equations
Solution: To find the point of intersection of a pair of linear equations, we solve them to find the value of x and y which satisfies both the equations.
Here, x=4 is the first equation. There is no coefficient of y. Therefore, we can write the equation in the given form:
x+0y= 4 ------(Equation i)
Similarly, y=3 is the second equation. There is no coefficient of x. Therefore, we can write the equation in the given form:
0x+y = 3 ------(Equation ii)
Multiplying equation (ii) by 0 and adding it to equation 1, we get:
x+0y+ 0× (0x+y)= 4
=> x=4
Putting x=4 in equation (ii), we get:
0×4+y=3
=> y= 3
Therefore, the point of intersection of x=4 and y=3 is option (c) (4,3).