Question

i) x+y=5 and 2x-3y=4 . solve the linear equation by the elimination method and the substitution method:

Answer 1

Hey friend ..!! here's your answer
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x + y = 5 (1.)
2x - 3y = 4 (2.)


By substitute of eq 1. and 2

x = 5 -y (3.)

put the value of x in eq. 2

2(5- y) - 3y = 4
10 - 2y - 3y = 4
-5y = -6
y = 6/5

put value of y in eq. 3

x = 5 - 6/5
x = 25 - 6 / 5
x = 19/ 5

Now we solve the eq. 1 and 2 by using Elimination method.

x + y = 5 × 2
2x - 3y = 4 × 1

2x + 2y = 10
2x - 3y = 4
- + -
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5y = 6

y = 6/5

put value of y in eq. 1

x + y = 5

x = 5 - 6/5

x = 19 / 5


So that by solving equation 1 and 2 by using substitution and elimination method , we get the value :
x = 19/5
y = 6/5
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#Hope its help you dear#
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