Question

Solve 2x+3y=5,4x-8y=-4 by elimination method

Answer 1

Step-by-step explanation:

Now,

4x-8y=4

4x=4+8y

x=4+8y÷4

x=1+2y

Now substitute this x value in 2x+3y=5

2x+3y=5

2 (1+2y)+3y=5

2+4y+3y=5

2+7y=5

7y=3

y=3/ 7

now x=1+2y

x=1+2 (3/7)

x=13/7

Answer 2

answer = x= 1 y = 1

explanation

multiply each eq. by such a no. that coffecient of atmost one of x or y becomes equal in magnitude and opposite in sign.

(2x+3y =5) × -2 = -4x - 6y = -10 ............. 1

(4x-8y = -4) × 1 = 4x - 8y = -4 ............. 2

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add eq. 1 and 2 0 - 14y = -14

y = 1

put y in any of the eq.

2x + 3(1) = 5 = x = 1