Math, asked by krishnaik91, 5 hours ago

2x-3y=4, 3x-4y=5 elimination method​

Answers

Answered by LoverBoy346
2

Step-by-step explanation:

2x-3y=4 \dashleftarrow{(1)}

3x-4y=5  \dashleftarrow(2)

Multiplying equation 1 by 3 and 2 by 2

6x - 9y = 12 \dashleftarrow(3)

6x - 8y = 10 \dashleftarrow(4)

Subtracting equation 3 from 4

 \not6x - 9y = 12 \\  \not6x - 8y = 10\\ \underline{   -   \:  \:  \:  \:  +  \:  \:  \:  \:  \:  \: -} \\   - y = 2

 \boxed{y =  - 2}

Now put the value of y in equation 1

2x - 3( - 2) = 4

2x + 6 = 4

2x = 4 - 6

2x =    - 2

 \boxed{x =  - 1}

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