Systems of Equations

NZ Level 7 (NZC) Level 2 (NCEA)

Systems of Linear and Non-Linear Functions

Consider the hyperbola $y=\frac{3}{x}$`y`=3`x` and the line $y=5$`y`=5.

a

To solve for the point of intersection of the hyperbola and the line, Laura forms the equation $\frac{3}{x}=5$3`x`=5. At how many points will the two graphs intersect?

b

Solve for the $x$`x`-coordinate of the point of intersection.

c

Hence state the coordinates of the point of intersection in the form $\left(x,y\right)$(`x`,`y`).

Easy

Approx 3 minutes

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