Question

Solve the following pair of equations by substitution method :
7x-15y=2
x-2y =3

Answer 1

Answer:- X=41 & Y=19

Step by step explanation:-

7x-15y=2......(i)

7x-15y=2......(i)x-2y=3....(ii)

7x-15y=2......(i)x-2y=3....(ii)x= 3+2y....(iii)

Substituting eq.(iii) in eq.(i)

7(3+2y)-15y=2

21+14y-15y=2

21-y=2

-y=2-21

-y=-19

Both the negative signs will get cancelled,

Therefore, y=19

Putting value of y in eq.(iii),

X=3+2(19)

=3+38

X=41

hope it helps you....

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) we get

Step-by-step explanation:

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