SYSTEM OF LINEAR

EQUATIONS

By: Sriya Neelam

TABLE OF CONTENTS

Key words…………………………………… Slide 3

Problem to practice…………………… Slide 4

Real life example……………………….. Slide 5

Bibliography………………………………… Slide 7

Thank You……………………………………. Slide 8

KEY WORDS A system of linear equations consists of two or

more linear equations.

The solution of a system of linear equations in two variables is any ordered pair that solves the linear equations. Later we will talk about 2 ways of solving.

Substitution works by solving one of the equations for one variable and then plugging this back into the other equation.

Graphing works by plotting both equations and by finding the crossing point.

SUBSTITUTIONEquation1: y= 3x-2 Equation2: y=-x-6First step: Substitute –x-6 in place of y into the first equation. You will get –x-6=3x-2.Second step: Move the x to one side and the numbers to another side. -6+2=3x+x -4=4x x =-1 y=-5The solution: (-1,-5)

GRAPHINGx Y=3x-2

1 1

-2 -8

x Y= -x-6

-6 0

0 -6

Crossing point (-1,-5)

Equ

ati

on1

Equ

ati

on2

REAL LIFE EXAMPLE Two kids have $20 altogether and one has $5 more than the other kid. How much does each kid have?

Here is how to set up the system:

Let x be how much money one kid has, y be how much money the second kid has.

Then, x + y = 20 x − y = 5

Let us use substitution method. You can write the 2nd equation as: x = 5+y Substitute x=5+y into the 1st equation 5+y+y=20 2y=15 y=15/2=7.50 x=12.50

REAL LIFE EXAMPLE(CONTINUED)One kid has $12.50, and other kid has $7.50

BIBLIOGRAPHYI used the below references..- Big Ideas Math.com- www.mathwarehouse.com

THANK YOU FOR LISTENING….

ANY QUESTIONS?