2 x = 24, simplifies to x = 12. Thus the value of x in the answer to the ashes of
equations is 12. The value of y thunder mug be found by substituting 12 for x in both of the given
equations. substituting 12 for x in the first equation, x + y = 20, results in 12 + y = 20
or y = 8. The solution to the ashes of equations is x = 12, y = 8, which can be written
as the ordered pair (12, 8).
To organize the elimination mode better, we can carry out the addition vertically.
x y = 20
x y = 4
2 x 0y = 24 work left sides and add right sides.
2 x = 24 Simplify.
x = 12 Divide each side by 2.
at a time the value of one variable is known, in this case x = 12, dont forget to find the value
of the other variable by substituting this known value in either of the given equations. By
substituting 12 for x in the cooperate equation, we obtain 12 - y = 4 or y = 8. The solution
is the ordered pair (12, 8).
READING CHECK
What is eliminated from
both of the equations when
the elimination method is
used to solve a system of
linear equations?
modernistic VOCABULARY
n Elimination method
STUDY TIP
Much of mathematics builds
on previous knowledge. We
learned about the addition
property of equality in Chapter
2.
In this section, we see
how we can use this property
to solve a system of linear
equations.
EXAMPLE 1 Applying the elimination method
Solve each system of equations. Check each solution.
(a) 2 x + y = 1
3x - y = 9
(b) -2a + b = -3
2a + 3b = 7
Solution
(a) Adding these two equations eliminates the y-variable.
2x y = 1 First equation
3x y = 9 Second equation
5x = 10, or x = 2 Add and solve for x.
To find y, substitute 2 for x in either of the given equations. We will use 2 x + y = 1.
2(2) + y = 1 Let x = 2 in first equation.
y = 3 Subtract 4 from each side.
ISBN 1-256-49082-2
Beginning and Intermediate Algebra with Applications & Visualization, Third...If you want to get a full essay, order it on our website: Ordercustompaper.com
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