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Solving System of Equations Algebraically using Substitution Method, Slides of Advanced Calculus

An explanation of the substitution method for solving a system of equations algebraically, along with examples and exercises. Students are expected to verify the solutions of given systems using substitution.

Typology: Slides

2021/2022

Uploaded on 09/12/2022

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Aim #23: How do we solve a system of equations algebraically using the
substitution method?
Homework : Handout
Do 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 = 20
y = -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!
10-24-16
pf3
pf4

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Aim #23: How do we solve a system of equationsalgebraically using the substitution method? Homework: Handout Do 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 = 20

{ y = -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!

HW #22 Solutions: (p.^189 #s^ 14-21).

No Solution

All ordered pairs that lie on

the graph of 2y = 4x 6.

No Solution

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 = 27 4x + 5y = 35 y = 2x - 1 g) Is (-2,-7) the solution of the following system? Explain. 7y - 4x = 29 x = y -