Solve the following system of equations by substitution method.
2x – y = 2 and x + 3y = 15
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Answer:
GIVEN
2x – y = 2 .....(i)
x + 3y = 15. ......(ii)
To find
solve the equation by substitution method.
Solution
2x – y = 2 .....(i)
2x – y = 2 .....(i)x + 3y = 15. ......(ii)
from equation (i) value of y
y= 2x -2
put the value of y the (ii) equation
x + 3 x (2x-2) = 15
x+ 6x -6 = 15
7x -6 = 15
7x = 21
x= 21/ 7
x= 3
put the value of x in any of the given equation
3 + 3y = 15
3y = 15-3
3y= 12
y= 12/ 3
y= 4
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