Elimination by Multiplying

Identify which method for solving systems is being described by this fact:

Equations must have like terms "stacked" up vertically, usually written in standard form.

• Graphing

• Substitution

• Elimination (adding or multiplying)

Identify which method for solving systems is being described by this fact: If like terms have a matching coefficient but not opposite values, take the opposite of every term in one equation.

• Graphing

• Substitution

• Elimination (adding or multiplying)

Identify which method for solving systems is being described by this fact: If like terms do not have a matching coefficient, multiplying one or both of the equations by a certain factor to transform the equations into a set of like terms with a matching set of coefficients.

• Graphing

• Substitution

• Elimination (adding or multiplying)

We could eliminate the y-variable in this system by multiplying the bottom equation by ______.

what would the top equation become when you multiply everything by -1?

• 2x - 6y = 20

• -2x - 6y = -20

• -2x + 6y = 20

• -2x + 6y = -20

what is the resulting combined equation for the system below?

• -18x = 18

• y = 18

• 2y= 18

• 18x + 2y = 18

Solve the system by multiplication.
2x + 10y = -20
-x + 4y = 28

• (-20,2)

• (1,4)

• (2,-20)

• (-2,2)

What number should we multiply by and on which equation?
2x + 10y = -20
-x + 4y = 28

• bottom, 2

• bottom, -2

• top, -1

• top, -2