Back to Understand that solutions to a system of two linear equations correspond to points of intersection of their graphs — Problem 2 · Task Set 11

Exercises: Systems of Linear Equations — Why the Intersection Point Is the Solution

Work through each section in order. For systems, an answer is an ordered pair $(x, y)$ that makes both equations true. Show your work where indicated.

Grade 8·20 problems·~30 min·Common Core Math - Grade 8·standard·8-ee-c-8a

Work through problems with immediate feedback

Fluency Practice

$A coordinate plane showing a solid line through (0,1) and (3,4) and a dashed line through (0,7) and (3,1); the two lines cross at a single grid point.$

The graph shows the lines $y = x + 1$ and $y = -2x + 7$ . Use the graph to find the solution of the system. Write your answer as an ordered pair $(x, y)$ .