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Chapter 4: Q 4.8. (page 421)

Which of the following ordered pairs are solutions to the equation4x-y=8?

(a)(0,8)(b)(2,0)(c)(1,-4)

Short Answer

Expert verified

If the ordered pair is required to be the solution of the provided equation "4x-y=8",then xand yboth must satisfy the supplied equation.

The ordered pair of choice b and c satisfy the equations.

Step by step solution

01

Step 1. Given Information

The given ordered pairs are4x-y=8.

02

Step 2. Find the equation

Substitute the x- and y-values from each ordered pair into the equation and determine if the result is a true statement.

(a)(0,8)

Substitute(x,y)=(0,8)in equation

localid="1647180129680" 4x-y=84(0)-8=8-8鈮�8

(0,8)is not a solution.

(b)(2,0)

Substitute(x,y)=(2,0)in equation

4x-y=84(2)-0=88=8

(2,0)is a solution

(c)(1,-4)

Substitute (x,y)=(1,-4)in equation

4x-y=84(1)-(-4)=88=8

(1,-4)is a solution

Therefore option b=(2,0)and option c=(1,-4)satisfy the equation and are solution of the equations.

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