Question

2x+3y=7 x-y=1 solve in elimination method

Answer 1

Step-by-step explanation:

$2x + 3y = 7 \dashleftarrow(1)$

$x - y = 1 \dashleftarrow(2)$

Multiply equation 1 by 2 and 2 by 1

$2x + 3y = 7 \dashleftarrow(3)$

$2x - 2y = 2 \dashleftarrow(4)$

Subtracting equation 3 by 4

$\not2x + 3y = 7 \\ \underline{ \not2x - 2y = 2 }\\ \underline{ 5y = 5\: \: \: \: \: \: \: \: \: \: \: \: }$

$\boxed{y = 1}$

Putting the value of y in equation 1

$2x + 3(1) = 7$

$2x = 7 - 3$

$2x = 4$

$\boxed{x = 2}$