Solve the following pair of linear equations by elimination method:

( 3 marks)

3x+2y=6

2x- 3y=17

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Solution

Step 1: At first we eliminate the variable x from both the equations

(1)×2⇒6x+4y=12 ----------------------------- (3)

(2)×3⇒6x-9y=51 -----------------------------(4) ( 1 mark)

Step 2:

Now, (3)- (4) ⇒(6x+4y)-(6x-9y)=12-51

⇒6x-6x+4y+9y=-39

⇒13y=-39

⇒y=(-39)/13

⇒y=-3 ( 1 mark)

Step 3 :

From (1), we get,

3x+2(-3)=6

⇒3x=6+6=12

⇒x=12/3=4

∴The solutions are x=4, y=-3 ( 1 mark)

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Solve the following pairs of linear (simultaneous) equations using method of elimination by substitution:

$3 x + 2 y = 11$

$2 x - 3 y + 10 = 0$

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Solve the above equations by elimination method.

\frac{x}{2} + \frac{2 y}{3} = - 1

x - \frac{y}{3} = 3

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