Understanding Substitution

What is a system of equations?

• It is a graph of a single linear equation.

• It is 2 or more linear equations that can result in 1-solution, no-solution or infinitely many solutions.

• It is a point or series of points on a linear graph where two or more lines intersect or contain the same "X" and "Y" values/answers

• It is a special word problem

The graph on your left is an image of a linear system of equations with what type of solution?

• No Solution

• Infinitely Many Solutions

• One Solution

• Only Two Solutions

A system of equations that consist of parallel lines has _______________ . (select all the answers that apply)

• an infinite number of solutions

• one solution

• two solutions

• no solutions

Give the solution to the system.

• (3,1)
• (1,3)
• (-1,3)
• (1, -3)

What is the solution to this system?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Using substitution, which equation would you solve.

^{y = 5x}

^{3x + y = 24}

• 5x + 3x + y = 24

• 3x +5y = 24

• ^{3x + (5x) = 24}

Using substitution, which equation would you solve?

3x + 4y = -8

^{x = -2y}

• x + y = -8

• 3x - 2y = -8

• 3x² + 4y = -8 - 2y

• 3(-2y) + 4y = -8

Which equation would you solve using substitution.

x + 2y = 19

y = 3x - 1

• 2xy+3x-1 = 19

• x + 3x - 1 = 19

• x + 2(3x-1) = 19

3x + y = 24

y = -2x -6

• 3x + y -2x - 6 = 24

• 3x - 2x + 6 = 24

• 3x + (-2x-6) = 24

• Infinite number of solutions

• (0, 7)

• (-5, -7)

• (5, 7)