Q5 of 92 Page 71

Let us solve the following simultaneous equations in two variables by the method of comparison:

3x – 2y = 2


7x + 3y = 43

expressing the equations in terms of one variable

3x – 2y = 2


………[1]


7x + 3y = 43


………[2]


by comparing eq. [1] and eq. [2]



⇒ 14y + 14 = 129 – 9y


⇒ 23y = 115


⇒ y = 5 ………[3]


by using [3] in [1]




⇒ x = 4


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Let us solve the following simultaneous equations by the method of comparison and check whether the solutions satisfy the equations.

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Let us solve the simultaneous equations 2x + y = 8 and 2y – 3x = –5 by the method of comparison and justify them by solving graphically.

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Let us solve the following simultaneous equations in two variables by the method of comparison:

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