Cool math fractal

math image

math image

cool math pre-algebra lessons: how to...cool math algebra lessons: how to...cool math precalculus / calculus lessons: how to...cool math anxiety survival and success guidecool geometry art - fractals, polyhedra, morebrain benders and free online jigsaw puzzlesCool Math Algebra, Precalulus and math anxiety booksother math stuff
cool math lessonscool math games and practice problemscool math gamesfree online math dictionarygeometry trigonometry reference area
cool math for teacherscool math for parentsCool Math 4 KidsCoolified GamesFinance FREAKTotally Stressed OutScience Monster

Coolmath Algebra
Systems of Equations 2x2's Lesson 2 - Solving by Substitution  
(page 3 of 4)

---- This algebra lesson explains how to solve a 2x2 system of equations by substitution.

math image

Now available:  Coolmath Algebra books!  Part 1, Part 2 and Part 3 covering the Algebra you need from Algebra 1 through Precalculus Algebra (Beginning Algebra through College Algebra)

other Coolmath Books:  Coolmath Precalculus Review (the math you really need to survive Calculus 1) and Math Survival Guide (How to conquer math and deal with math anxiety)

line
Graphing Calculator Scientific Calculator << a new window will open for these
line

OK, let's do one all the way from the beginning:

10x + y = 35 and 4x - 7y = -23

We've got to rewrite one of these equations so it's like

y = x stuff     or    x = y stuff

And here's the key to making your life happier:

You don't want fractions!

If possible, you want to pick a guy to solve for that doesn't create fractions.

Check it out:

If we solve for this guy...                    it's nice and clean!

10x + y = 35 ... y = 35 - 10x ... circle it and stick it into the OTHER equation ... 4x - 7y = -23

4x - 7 ( 35 - 10x ) = -23 ... solve for x ... 4x - 245 + 70x = -23 ... 74x - 245 = -23 ... 74x = 222 ... x = 3 ... Whew!  That was getting icky!

Now, you stick this guy

 

into circled guy!

x = 3 ... stick it into y = 35 - 10x ... y = 35 - 10 ( 3 ) ... y = 5

I think we've got it...  (3, 5)...  I'll let you check it!  * In both equations!

Continued on the next page

 The printing and distribution and/or downloading of these lessons is strictly prohibited.

line
Graphing Calculator Scientific Calculator << a new window will open for these
line

.....:::::::::::::::  HELP SUPPORT COOLMATH  :::::::::::::::.....
:::::::  link to us   :::::::   advertise with us  :::::::  why we have ads  :::::::  cool math games store  :::::::

 ||   about us   ||  about our Cool Math Games  ||   safe surfing   ||   privacy policy   ||   terms of use   ||   copyrights & fair use   ||
 
||  cool math pre-algebra  ||  cool math algebra  ||  cool math precalculus / calculus  ||  cool math anxiety survival  ||  geometry / art / fractals / polyhedra  ||
||  free online brain bender and jigsaw puzzles  ||  cool math books  ||  other math stuff  ||
||  cool math lessons: how to...  ||  cool math games & practice problems  ||  cool math 4 kids lessons and games  ||  cool math games for arithmetic  ||
||  free online math dictionary  ||  geometry / trigonometry reference  ||  cool math for teachers  ||  cool math for parents  ||  cool math games  ||
 
||  Coolified Games  ||  Cool Math 4 kids  ||  Spike's Game Zone  ||  Finance Freak  ||  Totally Stressed Out  ||  Science Monster lessons  ||

Thanks for visiting Coolmath.com
© 1997-2012 Coolmath.com, Inc.