No.155 Intersection of Two Lines and Systems
POINT
The coordinates of the intersection satisfy both equations. Solve the two line equations as a system.
Example
The sketch shows two lines. Find the coordinates of their intersection by solving the system of equations.
\(y=-x+4\)
\(y=2x-2\)
\(y=2x-2\)
\((2,2)\)
TRY
TRY 1
Find the intersection of \(y=x+1\) and \(y=-2x+7\) by solving a system.
\((2,3)\)
TRY 2
Find the intersection of \(y=3x-5\) and \(y=-x+7\) by solving a system.
\((3,4)\)