Gizmo Warm-up The equations x + y = 8 and x – y = 2 form a system of
linear equations in standard form. In the Solving Linear
Systems (Matrices and Special Solutions) Gizmo, you can
use graphing or algebra to solve such systems.
On the CONTROLS tab, select the top equation. Set A to
1, B to 1, and C to 8 to graph x + y = 8. Select the bottom
equation. Set A to 1, B to –1, and C to 2 to graph x – y = 2.
(To quickly set the value of a slider, type the number into
the text box to the right of the slider and press Enter.)
1. Look at the graph. How many points of intersection do the lines have?
2. Mouseover the purple intersection point. What are the coordinates? ( , )
3. How do these values relate to Max and Mary’s ages?