Solving pairs of linear equations by substitution, elimination and graphical methods.
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Q1 · Linear Equations in Two Variables · EASY
Solve the pair of linear equations by substitution method: x + y = 10 x - y = 4
Q2 · Linear Equations in Two Variables · MEDIUM
Solve the following pair of equations by elimination method: 3x + 2y = 11 2x + 3y = 4
Q3 · Linear Equations in Two Variables · MEDIUM
A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to the denominator. Find the fraction.
Q4 · Linear Equations in Two Variables · HARD
For what value of k will the following pair of linear equations have infinitely many solutions? kx + 3y = (k - 3) 12x + ky = k
Q5 · Linear Equations in Two Variables · EASY
A pair of linear equations 2x + 3y = 7 and 4x + ky = 14 will have infinitely many solutions if the value of k is: