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Middle Years

2.07 Non-linear Simultaneous Equations

Interactive practice questions

Consider the system of equations:

$x^2+y^2=10$x2+y2=10

$x-y=4$xy=4

a

$\left(x,y\right)$(x,y) is a solution to the system of equations. First solve for $x$x.

Enter each solution on the same line separated by a comma.

b

Therefore, the solutions are $\left(3,\editable{}\right)$(3,) and $\left(1,\editable{}\right)$(1,).

Medium
5min

Consider the system of equations:

$x^2+y^2=5$x2+y2=5

$-2x+3y=7$2x+3y=7

Medium
6min

Consider the system of equations:

$x^2+y=2$x2+y=2

$2y=5x^2-24$2y=5x224

Medium
6min

Consider the parabolas with equations $y=x^2-16$y=x216 and $y=16-x^2$y=16x2.

Medium
3min
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