Back to Understand that solutions to a system of two linear equations correspond to points of intersection of their graphs — Problem 4 · 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

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Fluency Practice

A student claims $(2, 5)$ is the solution of the system $y = 3x - 1$ and $y = x + 1$ . Verify by substitution. Enter the value of $y$ that $y = 3x - 1$ actually gives when $x = 2$ .