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Chapter 5: Q. 148 (page 626)

Solve a System of Equations by Elimination -

5x+2y=217x-4y=9

Short Answer

Expert verified

The simplification of Expression will be - (3,3).

Step by step solution

01

Step 1.  Given Information.

Equation - 5x+2y=217x-4y=9

02

Step 2.  To Find

Solve a System of Equations by Elimination and find the value of x and y.

03

Step 3.  Explanation

Equation -

5x+2y=217x-4y=9

We can eliminate y's by multiplying the first equation by 2-

(5x+2y)脳2=21脳27x-4y=910x+4y=427x-4y=9

04

Step 4.  Calculation

The equation become -

10x+4y=427x-4y=9

We Add the x's and y's and constants -

10x+4y=427x-4y=917x=51

Solve for x -

x=3

Substitute x=3 into the second equation 7x-4y=9, Then Solve for y -

7x-4y=97脳3-4y=921-4y=9-4y=9-21-4y=-12y=3

Written as (x,y)will be (3,3)

05

Step 5.  Check the answer

Check that the ordered pair is a solution to both original equations -

Put (3,3)in the equations -

5x+2y=215脳3+2脳3=2115+6=2121=217x-4y=97脳3-4脳3=921-12=99=9

The Solution is - (3,3)

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Most popular questions from this chapter

Solve a System of Equations by Elimination -

7x+y=-413x+3y=4

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In the following exercises, translate to a system of equations and solve.

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In the following exercises, translate to a system of equations and solve.

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