8. Systems
8.06 Systems of linear and quadratic 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
4min
When solving $y=x^2-3x+1$y=x2−3x+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?
Easy
1min
Solve the following equations simultaneously :
| Equation 1 | $y=-2x-1$y=−2x−1 |
| Equation 2 | $y=x^2-8x+8$y=x2−8x+8 |
Easy
2min
Solve the following equations simultaneously.
| Equation 1 | $y=x^2$y=x2 |
| Equation 2 | $y=-7x$y=−7x |
Easy
2min
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