Solving a System of Nonlinear Equations

The sum of the squares of two numbers is 53. The sum of the two numbers is 5. Find the two numbers.

Answer explanation

Let

x = the first number

and

y = the second number

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CCSS.HSA.REI.C.7

What are the solutions to the system of equations graphed below?

• (2, 0)

• (2, 0), (-2, 0)

• (-2,0)

• (0, -4), (0,4)

• No Solution

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CCSS.HSA.REI.C.7

Which graph could be used to find the solution to the system of equations show below:

y=2x+6

y=x²+4x+3

• 
• 
• 
• 

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CCSS.HSA.REI.C.7

Solve Algebraically:

(Select each correct solution)

x + 2y = -6

y = x² + 4x + 1

• (-1.219, -2.390)

• (-2.390, -1.219)

• (-3.281, -1.360)

• (-1.360, -3.281)

• No Solution

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CCSS.HSA.REI.C.7

Find the solutions to the non-linear system.

• (4,2)

• (-1,1)

• (2,4)

• (-2,0)

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CCSS.HSA.REI.C.7

• A
• B
• C
• D

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CCSS.HSA.REI.C.7

Determine the solution to the given linear-quadratic function.

• (0, 0)

• (3, 0)

• (2, -3)

• (-3, 2)

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CCSS.HSA.REI.C.7

Two equations were graphed on the set of axes below.  Which point is a solution to the system of equations ?

• (0,3)

• (5,0)

• (2,-3)

• (8,9)

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CCSS.HSA.REI.C.7

Given the system of equations:
y = x² + 3x - 5
y = x + 3
When x = -4, what is the value of y?

• -1

• 1

• 7

• -33

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CCSS.HSA.REI.C.7

What is the substitution method used for in solving a system of equations?

• To solve a system of equations

• To write a novel

• To calculate the area of a circle

• To bake a cake

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6