3.4 Systems of Linear and Nonlinear Equations

Identify the solution to the system graphed here.

• (0, 4) and (0, -2)

• (2, -2)

• (0 4)

• No solution

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CCSS.HSA.REI.C.7

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

• (-4, 2) and (-1, 5)
• (-4, -1) and (2, 5)
• (2, -1 and (-4, 5)
• (-4, 1) and (2, -1)

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CCSS.HSA.REI.C.7

How many real solutions does the system have?

(a)  

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CCSS.HSA.REI.C.7

Find the exact real solutions to the system

• no real solutions

• (0, 5)

• (-10, 11)

• (5, 0)

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CCSS.HSA.REI.C.7

Solve the System by using the Substitution Method:

 $y\ =\ \left(x+3\right)^2-1$  

 $y\ =\ 2x+5$  

• (-3, -1) and (-1, 3)

• (-1, -3) and (3, -1)

• (-3, -1), (-1, 3), (-1, -3), and (3, -1)

• No solution! It is an Inconsistent System

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CCSS.HSA.REI.C.7

Solve:

-4x² + 5y² -69y -58 = 0

x + 3y + 1 = 0

• (2, -1), (5, 2)

• (2, -1), (5, -2)

• (5, 2)

• No Solution

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CCSS.HSA.REI.C.7

Solve the system. Choose ALL solutions.

• (3, 6)

• $\left(-\frac{3}{7},\frac{18}{7}\right)$

• $\left(\frac{2}{7},\ 5\right)$

• No solutions

• (-3, 8)

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CCSS.HSA.REI.C.7

The difference of the squares of two numbers is 35. The sum of the numbers is −1. Write and solve a system of equations to find the numbers. Select BOTH numbers below.

• -18

• 17

• -17

• 12

• -8

• A

• B

• C

• D

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CCSS.HSA.REI.C.7

• A

• B

• C

• D

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CCSS.HSA.REI.C.7