Solving System of Equations Graphically and Algebraically

Solve the following system of equations algebraically using elimination method.

• (-3, 4)

• (3, 4)

• (3, -4)

• (-3, -3)

How many solution/s if the system is consistent and dependent?

• One solution

• Two solutions

• Infinitely many solutions

• No solution

How many solution/s if the system is consistent and independent?

• One solution

• Two solutions

• Infinitely many solutions

• No solution

Solve the system of equations using substitution

y = -6

-3x - 6y = 24

• (6, 6)

• (6, -6)

• (4, -6)

• (-6, 4)

How do you solve a system of nonlinear equations graphically?

• Set equations equal and solve algebraically

• Add the equations together

• Substitute one equation into another

• Find points of intersection of their graphs

What method involves solving for one variable and substituting?

• Graphing

• Substitution method

• Elimination method

• Factoring

How many solutions can a system of a line and parabola have?

• 0, 1, or 2

• Always 2

• Exactly 1

• Infinite solutions

• 2 and -2

• 4 and -4

• 1 and -1

• 0 and -4

What happens if the line does not intersect the parabola?

• System has two solutions

• System has one solution

• System has no real solutions

• System has infinite solutions

By plotting the graphs of 𝑦=2𝑥−1 and 𝑦=5𝑥−4,find the point that satisfies both equations simultaneously.

• (−1,−4)

• (0,−4)

• (0,−1)

• (1, 1)