Solve System of Equations by Addition or Subtraction

What do you call "more than one equation"?

• equivalent

• algebraic expression

• System of equations

• System of inequalities

How do you solve a system of equations?

(CLICK ALL THAT APPLY)

• graphing

• elimination

• substitution

• nSolve

• linSolve

Adding or subtracting equations in a system to get rid of one of the variables

• System of Equations

• Elimination

• Intersection

• Substitution

Two or more equations that are assumed to be true at the same time:

• System of Equations

• Elimination

• Intersection

• System of Inequalities

Find the solution to this system.

4x+4y=4

3x+4y=10

• (7,-6)

• (-6,7)

• (6,7)

• (7,6)

Find the solution to this system.

4x + 8y = 20

−4x + 2y = −30

• (-1, 7)

• (-7, 1)

• (7, -1)

• (1, -7)

The sum of 2 numbers is 55.  The difference is 3.

• x + y = 55
  x - y = 3

• x + y = 3
  x - y = 55

• x + y = 55
  y = 3y

• y = 55x
  x - y = 3

Josh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?

• x - y = -10
  x + y = -2

• x = -2
  y = 5

• x + y = -2
  x - y = -10

• x + y = -10
  x - y = -2

When the equations share a variable that has opposite coefficients (like 6x and -6x), the method that would most likely be easiest to use to solve would be

• Graphing

• Substitution

• Elimination by Addition

• Elimination by Subtraction

When the equations share a variable that has the same coefficients (like 4x and 4x), the method that would most likely be easiest to use to solve would be

• Graphing

• Substitution

• Elimination by Addition

• Elimination by Subtraction