QuestionEvaluate the expression $-6 x^{2}-5 y^{2}+5$ for $x=-2$ and $y=-7$ , then simplify.

Studdy Solution

STEP 1

Assumptions1. The algebraic expression is $-6x^{}-5y^{}+5$ . The values of the variables are $x=-$ and $y=-7$

STEP 2

We need to substitute the given values of $x$ and $y$ into the algebraic expression. $-6(-2)^{2}-5(-7)^{2}+5$

STEP 3

Next, we calculate the squares of $-2$ and $-7$ .
$(-2)^{2} =$ $(-7)^{2} =49$

STEP 4

Substitute these values back into the expression.
$-6(4)-(49)+$

STEP 5

Perform the multiplication in the expression.
$-24-245+5$

STEP 6

Finally, perform the addition and subtraction from left to right.
$-24-245+5 = -269$ The simplified value of the algebraic expression at $x=-2, y=-$ is $-269$ .

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