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

Solve the system:

$y = |x|$
$y = 2|x| + 3$

Question 38

Select one:

a. (–1, 1)
b. (1, 1)
c. (2, 2)
d. No solution
e. None of these

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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.

This problem has been solved

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