1) Graph both equations on the same coordinate plane. 2) Where do they intersect? Check out the reminders below:
To see a full explanation click HERE
1) Solve both equations for y. 2) Enter both into the calculator (use “y =” button) 3) Press “Graph” 4) Press these buttons… 2nd – Trace(Calc) – 5(intersect) – Enter – Enter – Enter
To see a full example worked out click HERE
1) Solve one equation for one of the variables 2)
Substitute into the 2nd equation (so there is just one variable) 3)
4)
Solve for the one variable you have
Substitute that answer into one of the original equations 5)
Solve for the other variable
If you would like to see an example click HERE.
2)
5)
1) Decide which variable is easiest to eliminate Multiply one (or both) equations as needed so one variable has the same coefficient with different signs 3) Add the equations together to eliminate 4) Solve for the variable that remains Substitute that answer into one of the original equations 6) Solve for the other variable If you would like to see an example click HERE.
1) Solve for y
(don’t forget to flip the sign if you multiply or divide by a negative)
2) Begin at the y-intercept (1st point) 3) Rise and Run for the slope (2nd point) 4) Connect the dots with a solid line for < or > & dotted/dashed line for < or > 5) Shade below the y-int
(& the rest of the line)
for > or >.
for < or < & above
For more examples click HERE.
1) Graph both linear inequalities on the same graph 2) 3)
Look for where they overlap
Use a test point to ensure that the final overlapping area contains a point that satisfies both inequalities For more examples click HERE.