Pre Calculus – Solving System of Nonlinear Equations | Systems of Equations
Pre Calculus – Solving System of Nonlinear Equations | Systems of Equations

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How many solutions does this nonlinear system of equations have?
A. Zero
B. Four
C. One
D. Two

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01:16

$$\begin{array}{l}{y=x^{2}-1} \\ {y=-x^{2}+1} \\ {y=1} \\ {y=-1}\end{array}$$A system of four equations and their graphs are shown above. How many solutions does this system of equations have?$$\begin{array}{l}{\text { (A) } 0} \\ {\text { (B) } 2} \\ {\text { (C) } 4} \\ {\text { (D) } 8}\end{array}$$

00:35

Every linear equation in two variables has how many solutions?

02:24

If a nonlinear system consists of equations with the following graphs,a) sketch the different ways in which the graphs can intersect.b) make a sketch in which the graphs do not intersect.c) how many possible solutions can each system have?parabola and ellipse

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Transcript

To find solutions graphically, you need to look for points of intersection, so, for example, just put a little thing over here i could have a parabola like this, and maybe i have a line- that’s going to touch just like this and touch it in 1 spot, and I would have 1 solution more commonly, i would have a parabola and then i would have a line going through that…