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Evaluate each expression for $x=-3$ and $y=-5$$$\frac{x-y^{2}}{2 y-1+x}$$
2
Algebra
Chapter 1
An Introduction to Algebra
Section 9
Simplifying Algebraic Expressions Using Properties of Real Numbers
The Language of Algebra
Equations and Inequalities
Functions
Linear Functions
Quadratic Functions
Polynomials
McMaster University
Harvey Mudd College
Baylor University
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we're being asked to evaluate the given expression if X is equal to negative three and why is equal to negative five. So the first thing we have to do is substitute negative three in place of X and negative five in place of why every time it shows up. So what we're gonna have is negative three minus and in place of why we're in a foot Negative five, which is getting razed to the second power and the denominator. We're gonna have two times negative five. And we have minus one plus X, which in this case is negative three. And now we just need to evaluate using the order of operations. Well, to do this, we're going to evaluate the numerator and denominator separately and then reduce if possible. So let's first start with the new Marie there. Well, we have subtraction and an exploded. So according to the order of operations, we must take care of the exponents first, while negative five squared means negative five times negative five, which is positive 25. So we'll be left live negative three minus positive. 25. Now, in the denominator, we have multiplication, subtraction and addition. So we must first do the multiplication first. So two times negative five is negative. 10 12 Negative. 10 minus one plus Negative three. Now in the numerator, we just have negative three minus 25 which is negative. 28. So I'm gonna come up here from the other room and in denominator, we have subtraction and addition left, so we must go from left to right. So first we have negative 10 minus one, which is negative. 11. So we have negative 11 plus negative. Three and negative. 11 plus negative. Three is negative. 14. So we have negative. 28 divided by negative. 14. And now we can divide. Well. Negative 28. Divide but divided by negative 14 is positive too. So the answer to our
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