/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 333 In the following exercises, solv... [FREE SOLUTION] | 91影视

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Chapter 5: Q. 333 (page 678)

In the following exercises, solve the following systems of equations by graphing.

2x-y=54x-2y=10

Short Answer

Expert verified

All the points on the line 2x-y=5are the solutions of the system.

Step by step solution

01

Step 1. Given information

The given system is2x-y=54x-2y=10.

02

Step 2. Plot first Equation  

  • The intercepts of 2x-y=5are (2.5,0),(0,-5).
  • Join the points to plot a line.

03

Step 3. Plot second Equation

  • The intercepts of the line 4x-2y=10are (2.5,0),(0,-5).
  • As the intercepts are same, the lines will overlap and the points on the entire line will be the solution set of the system.
04

Step 4. Check the solution

  • One point on the line2x-y=5isrole="math" localid="1648965435913" (5,5).
  • Substitute (2,5)into both the given equations and check if the equations are satisfied.

2(5)-5=?510-5=?55=54(5)-2(5)=?1020-10=?1010=10

  • As both the equations are satisfied, the solution is verified.

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