TipsGet tips through StudyGPTQuestion textSolve the system: y = |x|, y = 2|x| + 3.Question 38Select one:a.(–1, 1)b.(1, 1)c.(2, 2)d.No solutione.None of these
Question
TipsGet tips through StudyGPTQuestion textSolve the system: y = |x|, y = 2|x| + 3.Question 38Select one:a.(–1, 1)b.(1, 1)c.(2, 2)d.No solutione.None of these
Solution
To solve the system of equations y = |x| and y = 2|x| + 3, we need to find the x value(s) that make both equations equal.
Step 1: Set the two equations equal to each other:
|x| = 2|x| + 3
Step 2: Simplify the equation.
Subtract 2|x| from both sides to get:
-|x| = 3
Step 3: Solve for x.
Since the absolute value of a number is always positive, there is no real number x that will satisfy -|x| = 3.
Therefore, the answer is d. No solution.
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