Question

8x-2y=6

9x+y=10 sovle the equiton by using elimination method
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Answer 1

Answer:

x=1 , y=1

Step-by-step explanation:

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Answer 2

Answer :

The required values are

x = 1

y = 1

Given :

The equations are :

• 8x - 2y = 6
• 9x + y = 10

To Find :

• The value of x and y

Solution :

Considering the following equations as :

$\sf \implies 8x - 2y = 6 .........(1)$

And

$\sf \implies 9x + y = 10 \\\\ \sf \dagger \: \: Multiplying \: the \: above \: equation \: by \: 2 \\\\ \sf \implies 18x + 2y = 20 ..........(2)$

Adding (1) and (2) in order to eliminate ‘2y’

$\sf \implies 8x - 2y + 18x + 2y = 6 + 20 \\\\ \sf \implies 26x = 26 \\\\ \sf \implies x =\dfrac{26}{26} \\\\ \sf \implies x = 1$

Using the value of x in (1)

$\sf \implies 8\times 1 - 2y= 6 \\\\ \sf \implies -2y = 6-8 \\\\ \sf \implies -2y = -2\\\\ \sf \implies y = 1$