Q4 of 92 Page 69

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


ax - by = a2 - b2

Rewriting the above equation as

…(i)


…(ii)


Multiplying equation (i) by ‘b’ and equation (ii) by ‘a’ to eliminate y, we get



⇒ x = 1


Putting the value of x in (i) we get


Hence the solution of the linear equation is


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


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

x + y = a + b


ax + by = a2 - b2

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

ax + by = c


a2 x + b2y = c2

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

ax + by = 1