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Chapter 7 Notetaking Guide.pdf

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Example 1<br />

Add the Equations<br />

Solve the linear system.<br />

7x + 2y = -6 Equation 1<br />

5x - 2y = 6 Equation 2<br />

Solution<br />

Add the equations to get an equation in one variable.<br />

7x + 2y = -6 Write Equation 1.<br />

5x - 2y = 6 Write Equation 2.<br />

Add equations.<br />

Solve for<br />

Substitute for in the first equation and solve for<br />

7( ) + 2y = -6 Substitute for<br />

Solve for<br />

Check that (_, __ ) is a solution by substituting for x and<br />

for y in each of the original equations.<br />

Answer The solution is (_, __).<br />

o Checkpoint Use linear combinations to solve the system of<br />

linear equations. Then check your solution.<br />

1.4x + Y = -4 2.4x + 3y = 10<br />

-4x + 2y = 16 12x- 3y = 6<br />

Lesson 7.3 . Algebra 1 Concepts and Skills <strong>Notetaking</strong> <strong>Guide</strong> .149

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