Question

Find the solution of the system of
4x−10y= 0
4x−9y= −2

Answer 1

The solution to the system of equations 4x−10y= 0 and 4x−9y= −2 is x = -5 and y = -2, found using the elimination method.

Step-by-step explanation:

Solving the System of Equations

To find the solution of the system of equations 4x−10y= 0 and 4x−9y= −2, we can use the method of substitution or elimination. In this case, elimination would be more straightforward. To eliminate one of the variables, we can subtract the second equation from the first one:

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• 4x - 10y - (4x - 9y) = 0 - (-2)
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• 4x - 4x - 10y + 9y = 2
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• -y = 2
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• y = -2

Now that we have the value of y, we can substitute it back into one of the original equations to find x:

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• 4x - 10(-2) = 0
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• 4x + 20 = 0
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• 4x = -20
• 
  
• x = -5

The solution to the system of equations is x = -5 and y = -2.