# Linear Systems with Addition or Subtraction

Linear systems with addition or subtraction are fundamental concepts in mathematics, particularly in algebra. These systems involve equations with multiple variables, which can be solved using methods such as elimination or substitution. Addition and subtraction operations are employed to manipulate equations and isolate variables, leading to solutions that satisfy all given equations simultaneously. Understanding how to work with linear systems involving addition or subtraction is crucial in various fields, including engineering, physics, and economics, as it provides a structured approach to solving complex problems involving multiple unknowns.

Questions

- How do you solve the following linear system: # -x+2y=-6 , 5x-2y=-35 #?
- How do you solve y = 2x + 9 and 2x - y = -9?
- How do you solve the following system of equations?: #-x- 6y = 2 , 4x+y=8#?
- The sum of two numbers is 51. Their difference is 13. What is the smaller of the two numbers?
- How do you solve the following system of equations?: #x-2y=13 , x - y= 10#?
- How many solutions does #-5u - 6= - 6- 5u# have?
- How do you solve the system of equations #x- 4y = - 18# and #2x + y = - 9#?
- With a tail wind, a plane traveled 800 mi in 5 hours. With a head wind, the plane traveled the same distance in 8 hours. Which system of equations could be used to solve this problem?
- How do you solve the system using elimination #x + y = 5# and #x - y = -1#?
- How do you solve #x+y=5# and #3x-y=3#?
- How do you solve the system of equations #4x + 12y = 8# and #3x-12y=6# by the addition method?
- How do you solve the following system of equations?: #10x – 30y = -1, 2x + y = 8 #?
- How do you solve the system #-2x+15y=-24, 2x+9y=24#?
- X-12y=-7 3x-6y=-21 how do I solve ?
- How do you solve the system by substitution #x + y = 12# and #y = 2x#?
- How do you solve the system of equations #3y-4x=-33# and #5x-3y=40.5#?
- How do you find the ordered pair that is a solution to the system of equations #x + y = 10# and #x - y = 8#?
- How do you solve the following system of equations?: #3x-y=7 , 4x+3y=8#?
- How do you solve the system of equations #2y = 10x + 24# and #5x - y = - 12#?
- How do you solve the system 5x - y = 3 and -10x + 2y = -6?