Q. 4 B5.0( 10 Votes )

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

Answer :

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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