Solve Linear Systems by Multiplying

For the following equations, it would be easier to change the ​ (a)   variable into opposites by multiplying by ​ (b)   ​ .

2x + 3y = 12

4x - 7y = - 54

• x

• -2

• y

• 2

• 7

• 3

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)

Solve the system by multiplication.
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Look at this system of equations:      4x -  y = -10   x + 3y =   -8 Which of the following statements describes the most logical first step in solving this system?

• Multiply the top equation by -4

• Multiply the bottom equation by -4

• Multiply the top equation by -1

• Multiply the bottom equation by -1

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

• 2x - 6y = 20

• -2x - 6y = -20

• -2x + 6y = 20

• -2x + 6y = -20

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

• 2x - 6y = 20

• -2x - 6y = -20

• -2x + 6y = 20

• -2x + 6y = -20

Find the solution to the following pair of equations: 3x + 2y = 10 and 4x - y = 8

• x = 3, y = 5

• x = 1, y = 3

• x = 4, y = 6

• x = 2, y = 4