Question

System w/Elimination-2x-9y=-25-4x-9y=-25

Answer 1

x=0 and y=$\frac{25}{9}$

Step-by-step explanation:

We need to solve the system by elimination and find values of x and y

$-2x-9y=-25\,\,\,(1)\\-4x-9y=-25\,\,\,(2)$

Subtract eq(1) and eq(2)

$-2x-9y=-25\,\,\,(1)\\-4x-9y=-25\,\,\,(2)\\+\,\,\,+\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\---------\\2x=0\\x=0$

Now Multiply equation (1) by 2 and subtract with eq(2)

$-4x-18y=-50\\-4x-9y=-25\\+\,\,\,\,\,\,+\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\--------\\-9y=-25\\y=\frac{-25}{-9}\\y=\frac{25}{9}$

So, x=0 and y=$\frac{25}{9}$

Keywords: system by elimination

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