Solving Systems By Graph

Without graphing does this system have zero, one or infinitely many solutions?

𝑥 =−2𝑦 + 5

𝑥 + 4𝑦 = 17

• Zero solution

• One solution

• Infinitely many solutions

Which graph represents the solution to the system of equations

−𝑦 + 5𝑥 = 13

𝑦 = −2𝑥 + 8

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What is the solution to the system of equations

−𝑥 − 𝑦 = 7 − 2

𝑥 + 5𝑦 = −21

(Write your answer as an ordered pair)

(x , y)

Which graph represents the solution to the system of equations

4𝑦 + 𝑥= −4

𝑦 = −𝑥 + 2

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Determine if the system is independent, dependent, or inconsistent:

𝑥 + 𝑦 = 1

2𝑥 + 2𝑦 = 10

• Independent

• Dependent

• Inconsistent