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how many solutions are there for the system shown below?

2x^2+y^2=33
x^2+y^2+2y=19

a. 1
b. 4
c. 3
d. 2

Choice B; 4

Step-by-step explanation:

The solution to a system of equations is a pair of points (x, y) such that both equations pass through the given point. The number of solutions will thus be the number of such points where both functions pass through or intersect. The solutions to a system of equations can be determined analytically or graphically.

In this case, the graphical approach is much easier to use. We simply graph the two equations on the same graph and determine the number of points where they intersect.

From the attachment below, we see that the functions intersect at 4 distinct points. Hence there are 4 solutions to the system of equations given.

answer: plz give a pic and answer choices so i can answer!

step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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step-by-step explanation: