Lessons Grade 7

Chapter 14

Chapter 14: Systems of Equations

14.1 Introduction to Systems of Equations

A system of equations consists of two or more equations that have the same set of variables. The goal is to find the values of the variables that satisfy all equations simultaneously.

There are three methods to solve a system of equations:

Substitution

Elimination

Graphing

Exercises

Exercise 1: Solve the following systems of equations using substitution or elimination:

x+y=7x + y = 7x+y=7 and x−y=1x - y = 1x−y=1

2x+3y=52x + 3y = 52x+3y=5 and x−y=3x - y = 3x−y=3

3x−4y=83x - 4y = 83x−4y=8 and 5x+2y=165x + 2y = 165x+2y=16

4x+y=104x + y = 104x+y=10 and 3x−2y=43x - 2y = 43x−2y=4

x+2y=6x + 2y = 6x+2y=6 and 3x−y=73x - y = 73x−y=7 It's so simple guys and this chapter is very easy to understand. Just try to understand the introduction and the questions carefully. If you make any mistakes, it's OK. Not to know all the answers. All of us make mistakes, but if you learn more and more, you will make a single mistake. Thank you and remember that there's nothing coming from one try. try more than one try, make mistakes, read carefully to understand.

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