Download y = 3x+ 6 and y = 8x

TOOLKIT: SOLVING SYSTEMS OF LINEAR EQUATIONS ALGEBRAICALLY
Solve a System of Equations Algebraically
Step 1: Set the equations equal to each
other.
Step 2: Move the X’s onto the same side of
the equation and combine like terms.
Step 3: Solve for x.
Step 4: Substitute the x value back into one
of the 2 equations and solve for y.
Step 5: Write the ordered pair (x, y) for
the solution.
Show how the relates to the graph of the two lines.
y = 3x+ 6
and
y = 8x - 4
IM 1
Investigation 3.3.3 Day 2
Name
Solve each of the following systems of equations algebraically. Make sure to show all calculations and give your
solution as an ordered pair (x, y).
1)
2)
3)
4)
Solve each of the following systems of equations by graphing. Make sure to draw lines accurately.
For the solution give the point of intersection as an ordered pair (x, y).
5)
6)
Solution:
Solution:
Solve each of the following systems of inequalities by graphing. Make sure to draw lines accurately.
For the solution shade the overlapping part of the graph darker than the rest.
7)
8)