Question

2x-3y=4, 3x-4y=5 elimination method​

Answer 1

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

$2x - 3( - 2) = 4$

$2x + 6 = 4$

$2x = 4 - 6$

$2x = - 2$

$\boxed{x = - 1}$