Solving Systems of Linear Equations by Elimination

What is the first step in solving a system of linear equations using the elimination method?

• Subtract the equations from each other

• Add the equations together

• Multiply one or both equations by a number

• Divide one equation by another

If you multiply the equation 3x + 4y = -5 by 2, what is the resulting equation?

• 6x + 8y = -10

• 3x + 4y = -10

• 6x + 4y = -5

• 3x + 8y = -10

After aligning the coefficients of x in the first system of equations, what operation is performed next?

• Add the equations

• Multiply the equations

• Subtract the equations

• Divide the equations

What is the value of y in the first system of equations after elimination?

• 2

• -1

• 1

• 0

What is the value of x in the first system of equations after solving for y?

• -3

• 1

• -1

• 3

How can you verify the solution of a system of equations?

• By using a calculator

• By graphing the equations

• By substituting the values back into the original equations

• By solving another system of equations

In the second system of equations, what is the strategy to eliminate the y variable?

• Multiply both equations by the same number

• Multiply the first equation by 3 and the second by 2

• Add the equations together

• Divide the first equation by 2 and the second by 3

What is the resulting equation after eliminating y in the second system of equations?

• 4x = 2

• 5x = 2

• 4x = 1

• 5x = 1

What is the value of x in the second system of equations?

• 1/5

• 1/2

• 1/3

• 1/4

What is the value of y in the second system of equations after solving for x?

• 1/5

• 1/3

• 1/4

• 1/2