Solving Systems of Linear Equations by Substitution
Solve the system of linear equations by substitution:
y = 2x + 9
y = -x + 6
(-1,7)
Solve the system of linear equations by substitution:
y = x - 4
y = 4x - 10
(2,-2)
y = 4x + 7
x + y = 3
x + 4x + 7 = 3
y = 2x - 2
y = 2x + 9
2x - 2 = 2x + 9
Am I an early bird or a night owl?
Night Owl
Solve the system of linear equations by substitution:
y = x + 4
y = -x + 2
(-1,3)
Solve the system of linear equations by substitution:
y = 2x + 5
y = 3x - 1
(6,17)
x = 2y
3x + 2y = 3
3(2y) + 2y = 3
y = 3x + 1
x + 2y = -3
x + 2 (3x + 1) = -3
What is my favorite Disney movie?
Tangled
Solve the system of linear equations by substitution:
y = 2x + 5
y = 0.5x - 1
(-4,-3)
Solve the system of linear equations by substitution:
y = 1
7x - 8y = 6
(2, 1)
2x + y = 1
y = -3x + 7
2x - 3x + 7 = 1
y = 5x - 9
y = 5x + 9
5x - 9 = 5x + 9
What was my dream job in high school?
Teacher
Solve the system of linear equations by substitution:
x + y = 7
y = x + 3
(2,5)
Solve the system of linear equations by substitution:
2x = y - 10
x + 7 = y
(-3,4)
x = 5
3x - 2y = -3
3(5) - 2y = -3
x = 11
y - 8x = -2
y - 8(11) = -2
What was my favorite (core) subject when I was in school?
English
Is it possible for a system of linear equations to have exactly two solutions? Explain your reasoning.
No, two lines cannot intersect in exactly two points.
Solve the system of linear equations by substitution:
y - x = 0
2x - 5y = 9
(-3,-3)
x = 4y + 2
3x + 5y = 10
3 (4y + 2) + 5y = 10
y = 7x
y = -2x + 6
7x = -2x + 6
What is my biggest fear?
Sharks