Solving Systems of Equations by Substitution and Elimination

What is the solution to the system of equations 2x + 3y = 12 and x - y = 1 using substitution?

• (3, 2)
• (4, 1)
• (5, 4)
• (2, 3)

When solving the system of equations 3x - 2y = 4 and 6x + y = 9 by elimination, what should you do first?

• Multiply the first equation by 2
• Add the two equations directly
• Multiply the second equation by 2
• Subtract the second equation from the first

When solving a system of equations, which method is most efficient if one equation is already solved for y?

• Substitution
• Elimination
• Graphing
• Guessing and checking

Solve the following system of equations using elimination: 2x + 3y = 12 and 4x - 3y = 6. What is the value of x?

• x = 3
• x = 4
• x = 5
• x = 6

When using elimination to solve a system of equations, why might we choose to multiply one equation by a constant?

• To make the problem more complex
• To create equal and opposite coefficients for a variable
• To eliminate all variables at once
• To change the solution set