Short Answer TypeThe given pair of equation is
2x + 3y = 5
5x - 2y = 3
Putting x = 1,y = 1 in eq. (i) and (ii), we get
2x + 3y = 5
⇒ 2(1) + 3(1) = 5
⇒ 5 = 5 which is true.
Also, 5a - 2y = 3
⇒ 5(1) - 2(1) = 3
⇒ 3 = 3 which is true.
Thus, x = 1, y - 1 is the solution of the given pair of equations.
Write whether the following pair of linear equations is consistent or not.
x + y = 14
x - y = 4
Find the value of k so that the following system of equations has infinite solutions:
3x - y - 5 = 0; 6x - 2y + k = 0
Given the linear equation 2a + 3y - 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is :
(i) parallel lines
(ii) intersecting lines
(iii) coincident lines.
10x + 5y - (k - 5) = 0
20x + 10y - k = 0.
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