Question

Solve the following pair of equations by elimination method:7x–15y =10, x+2y = -11

Answer 1

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Answer 2

Answer:

7x – 15y = 2 .......(1)

x + 2y = 3 ..........(2)

Step 1: We pick either of the equations and write one variable in terms of the other. Let us consider the Equation (2) :

x + 2y = 3

and write it as x = 3 – 2y .......(3)

Step 2 : Substitute the value of x in Equation (1). We get

7(3 – 2y) – 15y = 2

i.e., 21 – 14y – 15y = 2

i.e., – 29y = –19

Therefore, y =19/29

Step 3 : Substituting this value of y in Equation (3)Substituting this value of y in Equation (3), we get

$x = 3 - 2 ( \frac{19}{29}) = \frac{49}{29}$

Therefore, the solution is x =

$\frac{49}{29}$

,y =

$\frac{19}{29}$

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