hw #23 solutions
TRANSCRIPT
HW #23 Solutions: p. 189 #14-21
No Solution
All ordered pairs that lie on
the graph of 2y = 4x 6.
No Solution
Aim #24: How do we solve a system of equations algebraically using the substitution method?Homework: HandoutDo Now: Consider the two system of equations below. Verify whether the given ordered pairs are solutions:
(3,4) (2, 2.4) y = x + 1 4x + 5y = 20y = -2x + 10 2x + 6y = 10{ {
Besides solving a system of equations GRAPHICALLY, another method is the SUBSTITUTION METHOD. By replacing one variable with an equivalent expression containing the other variable, you can create a one-variable equation to solve.
Example 1: y = 2x + 1 x - y = 7 Check your solution!
Example 2: 2x + y = 4 2x + 3y = 9
Check your solution!
Solve and check each system algebraically using substitution.
a) y = 4x - 1 b) 3x + y = 5y = - x + 8 3x + y = 81
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c) y = 2x - 4 d) y = -x + 6-6x + 3y = -12 y = x - 33
4
Sum it Up!
To determine the solution to a system of equations, we have found the solutions ____________ and ____________ using ____________.
How can you verify the solution to a system of equations?
e) y = 0.2x + 10 f) 4x + 3y = 274x + 5y = 35 y = 2x - 1
g) Is (-2,-7) the solution of the following system? Explain.
7y - 4x = 29x = y -5