Question

solve the following equation in substitution method x-5y=4, 2x-3y=4

Answer 1

Answer:

By substitution method x + y = 5 ... (i)

Subtracting y both side, we get

x = 5 - y ... (iv)

Putting the value of x in equation (ii) we get

2(5 – y) – 3y = 4

-5y = - 6

y = -6/-5 = 6/5

Putting the value of y in equation (iv) we get

x = 5 – 6/5

x = 19/5

Hence, x = 19/5 and y = 6/5

Answer 2

x-5y=4...(1)

2x-3y=4...(2)

From (1)

x-5y=4

-5y=4-x

y=4-x/5

Substitute y=4-x/5 in eqn (2)

2x-3y=4

2x-3(4-x)/5=4

2x-12+3x=4×5

2x-12+3x=20

2x+3x=20+12

5x=32

x=32/5

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