Question

Solve the following system of equation by substitution method y=2x and 7x-2y=35

Answer 1

Answer:

Answer in the given attachment.

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Answer 2

ANSWER:

• Value of x = 35/3 and y = 70/3

GIVEN:

• y = 2x
• 7x-2y = 35

TO FIND:

• Value of 'x'and'y'.

SOLUTION:

=> y = 2x. ...(I)

=> 7x-2y = 35. .....(ii)

Putting y = 2x in eq(ii) [from eq(I)]

=> 7x-2(2x) = 35

=> 7x-4x= 35

=> 3x = 35

=> x = 35/3

Putting x = 35/3 in eq(I) we get;

=> y = 2(35/3)

=> y = 70/3

Value of x = 35/3 and y = 70/3

NOTE:

• This method of finding the value of x and y is called substitution method.
• in substitution method we substitute the value of one variable in the second equation.
• In this way we can find the value of x and y by substitution method.