McGraw Hill Glencoe Algebra 2, 2012
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McGraw Hill Glencoe Algebra 2, 2012 View details
Study Guide and Review
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Exercise 61 Page 650

Isolate one variable in Equation (II). Then, substitute the variable's equivalent value into Equation (I).

Practice makes perfect
We will solve the given system of equations using the Substitution Method.
Note that neither of the variables is isolated in either equation, so we need to start by isolating in Equation (II).
The variable is isolated in Equation (II). This allows us to substitute its value for in Equation (I).
Solve for
Now, consider Equation (II).
We can substitute and into the above equation to find the values for Let's start with
We found that when One solution of the system is To find the other solution, we will substitute for in Equation (II) again.
We found that when Therefore, our second solution is

Checking Our Answer

Checking the answer
We can check our answers by substituting the points into both equations. If they produce true statements, our solutions are correct. Let's start by checking We will substitute and for and respectively, in Equation (I) and Equation (II).

,

Simplify

Add terms

Since both equations produced true statements, the solution is correct. Let's now check

,

Simplify

Add and subtract terms

Since again both equations produce true statements, the solution is also correct.