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Question

x + 2y = 8, 2x + y = 7 সমীকরণের সমাধান কোনটি?

8,0

6,1

3,3

2,3

ANSWER : 4

Descrption

To solve the system of equations:<ol><li>x + 2y = 8</li><li>2x + y = 7</li></ol>You can use the method of substitution or elimination. Here, we'll use the elimination method. Multiply equation (1) by 2 to make the coefficients of y in both equations equal:<ol><li>2x + 4y = 16</li><li>2x + y = 7</li></ol>Now, subtract equation (2) from equation (1) to eliminate x:(2x + 4y) - (2x + y) = 16 - 7Simplify:2x + 4y - 2x - y = 9Combine like terms:3y = 9Now, divide both sides by 3 to find the value of y:3y/3 = 9/3y = 3Now that you have the value of y, you can substitute it back into either equation (1) or (2) to solve for x. We'll use equation (2):2x + y = 72x + 3 = 7Subtract 3 from both sides:2x = 7 - 32x = 4Divide both sides by 2 to find the value of x:2x/2 = 4/2x = 2So, the solution to the system of equations is x = 2 and y = 3, which can be written as (2, 3).

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