How to Use Elimination to Solve a System of Equations

What is the least common multiple (LCM) of the coefficients 2 and 5?

• 20

• 15

• 10

• 5

Why is it important to have one equation with a negative coefficient when eliminating variables?

• To ensure the variables cancel out when added

• To simplify the multiplication process

• To avoid using the distributive property

• To make the equations easier to read

What is the result of applying the distributive property to the equation after multiplying by -2?

• 4Y = 38

• 10X + 15Y = 0

• 5X - 2Y = 0

• 2X + 3Y = 0

After adding the two equations, what is the value of Y?

• 4

• 1

• 2

• 3

Why might you choose to substitute into the simpler equation?

• To avoid complex calculations

• To ensure accuracy

• To verify the original equation

• To practice using the distributive property