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Evaluate x^(2)-(xy-y) for x satisfying (x)/(9)-5=(x)/(4) and y satisfying -6y-4=2y+44

User Jeru Luke
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Final answer:

To evaluate x^(2)-(xy-y), we first need to find the values of x and y that satisfy the given equations. The values are x = 1.8 and y = -6. Substitute these values into the expression and simplify to find the final answer as 20.04.

Step-by-step explanation:

To evaluate x2 - (xy - y), we need to find the values of x and y that satisfy the given equations.

Starting with the first equation, we can simplify it by cross-multiplying:
4x - 36 = 9x - 45

Combine like terms:
-5x = -9

Divide both sides of the equation by -5 to solve for x:
x = 1.8

Next, substitute the value of x into the second equation:
-6y - 4 = 2y + 44

Combine like terms:
-8y = 48

Divide both sides of the equation by -8 to solve for y:
y = -6

Now we can substitute the values of x and y into the expression x2 - (xy - y):
1.82 - (1.8(-6) - (-6)) = 3.24 + (10.8 + 6) = 3.24 + 16.8 = 20.04

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User FrancoTampieri
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