Back to Understand that solutions to a system of two linear equations correspond to points of intersection of their graphs — Problem 3 · 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
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Fluency Practice

A coordinate plane showing a solid line through (0,-2) and (2,4) and a dashed line through (0,4) and (3,7); the lines cross at a single grid point.
1.

The graph shows the lines y=3x2y = 3x - 2 and y=x+4y = x + 4. Use the graph to find the solution of the system. Write your answer as an ordered pair (x,y)(x, y).