If (u, v) satisfies ax + by = c, then au + bv = c. Multiplying by non-zero k gives kau + kbv = kc. Reversing this by dividing by k proves both share identical solutions. Class 9 Maths Ganita Manjari ...
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Multiplying 3x + 4y = 7 by 2 produces 6x + 8y = 14 and dividing the second by 2 gives the first. Being algebraically equivalent, every ordered pair satisfying one equation necessarily satisfies the other. Class 9 Ganita Manjari Part ...
This statement is False. Substituting x = 1 and y = 2 into the left-hand side yields 2(1) + 3(2) = 2 + 6 = 8, which does not equal the right-hand side value of 7. Cbse Class 9 Maths Ganita ...
This statement is True. Being a single linear equation in two variables, it geometrically represents a line. Every point along this line corresponds to a distinct ordered pair satisfying the equation, yielding infinite solutions. Ganita Manjari Part 2 chapter 13 question ...
This statement is True. The equation x = 3 can be expressed in the standard two-variable form as 1x + 0y − 3 = 0, where a = 1, b = 0 and c = −3. Cbse released Class 9 Ganita ...