Question

Consider the systems of equations below.

System A)
X^2 + y = 17
Y = -1/2x

System B)
Y = x^2 - 7x + 10
Y = -6x + 5

System C)
Y = -2x^2 + 9
8x - y = -17


Determine the number of real solutions for each system of equations.

System A) ____
SystemB) ____
System C) ____​

Answer 1

Based on the systems of equations given, the number of real solutions for each system is:

• System A - 2 solutions.
• System B - 0 solutions.
• System C - 1 solution.

How many solutions will the systems of equations give?

To find out the number of solutions, you should plot the equations on a graph.

When system A is plotted as shown attached, you notice that line y = 1/2x intersects x² + y² = 17 twice. It therefore has two solutions.

When system B is plotted, y = -6x + 5 does not intercept y = x² + 7x + 10 which means that there are no real solutions.

System C shows only one real solution because 8x - y = -17 intercepts y = -2x² + 9 once.

Find out more on real solutions at https://brainly.com/question/4526506.

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