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2.08 Quadratic systems of equations

Interactive practice questions

Solve the following equations simultaneously.

Equation $1$1 $y=x^2+3x$y=x2+3x
Equation $2$2 $y=-x+21$y=x+21
a

First solve for $x$x.

b

Find the value of $y$y at the point of intersection where $x=3$x=3.

c

Find the value of $y$y at the point of intersection where $x=-7$x=7.

Easy
Approx 4 minutes
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When solving $y=x^2-3x+1$y=x23x+1 and $y=x+6$y=x+6 simultaneously, one point of intersection is at $x=-1$x=1. What is the $y$y-coordinate at this point?

Solve the following equations simultaneously :

Equation 1 $y=-2x-1$y=2x1
Equation 2 $y=x^2-8x+8$y=x28x+8

Solve the following equations simultaneously.

Equation 1 $y=x^2$y=x2
Equation 2 $y=-7x$y=7x

Outcomes

MGSE9-12.A.REI.11

Using graphs, tables, or successive approximations, show that the solution to the equation f(x) = g(x) is the x-value where the y-values of f(x) and g(x) are the same.

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