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Chapter 5: Q. 141 (page 626)

Solve a System of Equations by Elimination -

2x-5y=73x-y=17

Short Answer

Expert verified

The simplification of Expression will be - (6,1).

Step by step solution

01

Step 1.  Given Information.

Equation -2x-5y=73x-y=17

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 -

2x-5y=73x-y=17

We can eliminate y's by multiplying the second equation by 5 -

2x-5y=7(3x-y)脳5=17脳52x-5y=715x-5y=85

04

Step 4.  Calculation

The equation become -

2x-5y=715x-5y=85

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

2x-5y=715x-5y=85-13x=-78

Solve for x -

x=6

Substitute x=6into the second equation 3x-y=17, Then Solve for y -

3x-y=173脳6-y=1718-y=17-y=-1y=1

Written as (x,y)will be (6,1)

05

Step 5.  Check the answer

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

Put (6,1)in the equations -

2x-5y=72脳6-5脳1=712-5=77=7

3x-y=173脳6-1=1718-1=1717=17

The Solution is - (6,1)

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