299,842 views
6 votes
6 votes
What is the value of x in the solutions to the system of equations below3x-8y=112y+x=13

User Umut Tabak
by
3.1k points

1 Answer

12 votes
12 votes

Given system of equations

3x - 8y = 11 ______________________1

2y + x = 13 ______________________ 2

Use the substution method

How to use the substitution method

1. pick one of the equation

2. make one of the variable subject of relation

3. substitute

From equation (1)

2y + x = 13

x = 13 - 2y

substitute x from equation 1 to 2.

3(13 - 2y) - 8y = 11

39 - 6y - 8y = 11

39 - 11 = 6y + 8y

28 = 14y

y = 28/14

y = 2

Next, substitute y in equation 2 to find x.

x = 13 - 2y

x = 13 - 2(2)

x = 13 - 4

x = 9

Final answer x = 9

User Jakub Szumiato
by
3.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.