Solve the system: y = |x|, y = 2x + 3Question 10Select one:a.(-1, 1)b.(1, 1)c.(2, 2)d.No solutione.None of these

To solve the system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

The first equation is y = |x|. This means that y is equal to the absolute value of x.

The second equation is y = 2x + 3. This means that y is equal to 2 times x plus 3.

To find the solution, we can set these two equations equal to each other and solve for x:

|x| = 2x + 3

There are two cases to consider here because the absolute value of x can be either positive or negative.

Case 1: x = 2x + 3 Solving this gives x = -3, but this doesn't satisfy the first equation y = |x|, because the absolute value of x can't be negative.

Case 2: -x = 2x + 3 Solving this gives x = -1. Substituting x = -1 into the first equation gives y = |-1| = 1.

So, the solution to the system of equations is (-1, 1), which corresponds to option a.(-1, 1).