Q4 of 92 Page 73

Let us solve the following simultaneous equations in two variables by the method of substitution and check whether the solutions satisfy the equations.


Given … (1)


And


… (2)


Expressing x of equation (1) in terms of y,






… (3)


Substituting (3) in (2),







⇒ 6 (10y + 5) = 35 (2y)


⇒ 60y + 30 = 70y


⇒ 30 = 70y – 60y


⇒ 30 = 10y


⇒ y = 30/ 10


∴ y = 3


Substituting y value in (3),





∴ x = 2


∴ By solving, we get x = 2 and y = 3.


Justification:


(1) -



⇒ 1 + 1 = 2


⇒ 2 = 2


And (2) -





∴ We can see that x = 2 and y = 3 satisfy equations (1) and (2).


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