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