Solving Nonlinear Systems by Substitution

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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)

Find the solution:
y = x² - 4x + 6
y = x + 2

• (3, 1) and (6, 4)

• (-1, 1) and (4, 2)

• (1, 3) and (4, 6)

• (1, 4) and (3, 6)

Solve the system of linear and quadratic equations using substitution:
y = 5
y = 2x² - 16x + 29

• (6, 5) and (2, 5)

• (2, 6)

• (6, 2)

• (5, 6) and (5, 2)

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

Identify the solution to the system graphed here.

• (1, 5) and (-4, 0)

• (1, 5) and (-2, 0)

• (1, 5) and (0, -4)

• No solution

Solve the following system. On your own piece of paper perform a graph analysis. y = x² - 2x - 6 y = 4x + 10

• (4, -2) and (8, -2)

• (2, 8) and (2, 0)

• (8, 0) and (-6, 42)

• (8, 42) and (-2, 2)

What are the solutions to the graphed system?

• (0,-2) and (3,1)

• (-2,0) and (2,0)

• (0,-2) and (3,1)

• (2,2) and (1,0)

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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