Web Analytics
Answered

Which ordered pair satisfies the system of equations below? 3x – y = 8

x + y = 2

Question 1 options: A. (3, −1) B. (2.5, −0.5) C. (2.5, 0.5) D. (5, −3)

Verified Answer :

loldummy

the answer would be B. (2.5, -0.5) 

plug the possibilities in and solve. just because it works for one, it doesn't mean that it will work for both.

3 (2.5) - (-0.5) = 7.5 + 0.5 = 8

(2.5) + (-0.5) = 2.5 - 0.5 = 2

i hope i helped. :)

MrRoyal

An ordered pair is the pair of x and y values

The ordered pair is: (b) (2.5, -0.5)

The equations are given as:

\(3x - y = 8\)

\(x + y = 2\)

Make x the subject in \(x + y = 2\)

\(x = 2 - y\)

Substitute \(x = 2 - y\) in \(3x - y = 8\)

\(3(2 -y) - y = 8\)

\(6 -3y - y = 8\)

\(6 -4y = 8\)

Collect like terms

\(-4y = 8 - 6\)

\(-4y = 2\)

Divide both sides by -4

\(y =-0.5\)

Substitute \(y =-0.5\) in \(x = 2 - y\)

\(x = 2--0.5\)

\(x = 2.5\)

Hence, the ordered pair is: (2.5, -0.5)

Read more about system of equations at:

https://brainly.com/question/12895249

Related Questions