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Math  /  Algebra

QuestionGiven f(x)=−x+5f(x)=-x+5, solve for xx when f(x)=−10f(x)=-10.
Answer Attempt 1 out of 2 □\square Submit Answer

Studdy Solution

STEP 1

1. The function f(x)=−x+5 f(x) = -x + 5 is linear.
2. We are given that f(x)=−10 f(x) = -10 and need to solve for x x .

STEP 2

1. Set the function equal to −10-10.
2. Solve the equation for x x .

STEP 3

Set the function equal to −10-10 by substituting −10-10 for f(x) f(x) :
−x+5=−10 -x + 5 = -10

STEP 4

To solve for x x , first isolate the term with x x by subtracting 5 from both sides:
−x+5=−10 -x + 5 = -10 −x=−10−5 -x = -10 - 5 −x=−15 -x = -15

STEP 5

Now, solve for x x by multiplying both sides by −1-1 to get rid of the negative sign:
−x=−15 -x = -15 x=15 x = 15
The value of x x is:
15 \boxed{15}

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