Algebra: Chapter 8, Lesson 1, page 358.
Solving Systems of Equations by Graphing
A set of equations for which a common solution is sought is called a SYSTEM OF EQUATIONS. A solution of a system of 2 equations in 2 variables (x, y) is an ordered pair that makes both equations true.
Take 2 linear equations and graph them (with at least 2 points for each linear equation) and where they INTERSECT is a “SOLUTION” to BOTH equations.
Pretty simple to do, but it can be time consuming in that you have to have graph paper and a ruler and some time ….
Here is a link with LOTS of examples from purplemath.com. It goes on for 2 pages so make sure that you see them both!
Two of tonight’s homework problems solved by MrE are here! Just click it!
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Algebra 1a: Chapter 3, Lesson 5, page 136.
More on Solving Equations
Solve equations by first getting all variables on the same side of the equation. Get rid of the paranthesis too (distributive property if required). Go slow and ONCE YOU HAVE YOUR ANSWER, PLUG IT BACK IN TO SEE IF IT WORKS, IF NOT, CHECK YOUR MATH FOR SIMPLE MATH OR SIGN ERRORS!
Click here for some more examples. Don’t forget to try out Nutshellmathplus.com too!
Remember the steps to SOLVING EQUATIONS:
- Multiply both sides to clear fractions or decimals, if necessary.
- Collect like terms on each side, if necessary.
- Use the addition property to move the variable to one side and all other terms to the other side of the equation.
- Collect like terms again, if necessary
- Add or subtract to isolate the variable and finally
- Use the multiplication or division or reciprocal properties to solve for the variable.
Two of tonight’s homework problems solved by MrE are here! Just click it and here!