A
What is the name of the algebraic method of solving a system of equations we used and learned today?
Substitution Method
What is the correct order when we are using a substitution method?
a) Substitute expression into other equation
b) Solves for the other variable
c) Solves one equation for one variable
c) Solves one equation for one variable
a) Substitute expression into other equation
b) Solves for the other variable
Find the linear system algebraically.
y = -2x
x + 4y = 21
x = -3
y = 6
Solve linear system algebraically.
y = -3x
y - x = 24
x = -6
y = 18
6x - y = 0
8x - 3y = 25
x = -2.5
y = -15
Solve linear system algebraically.
2x - 3y = 10
x + y = 0
x = 2
y = -2
Solve linear system algebraically.
(1/3)x - y = 3
2x + (1/2)y = 5
x = 3
y = -2
The sum of two numbers is 20. Twice one number is four more than four times the other. Write a system of linear equations and determine both numbers.
x + y = 20
2x = 4y + 4
x= 14, y = 6