Solve a System of Linear Equations Using Elimination

What is the primary condition for using elimination effectively in solving equations?

• The equations must be in standard form.

• The equations must be linear.

• The coefficients of the variable to be eliminated must have the same absolute value.

• The equations must have integer coefficients.

How can you create an equivalent equation?

• By subtracting a constant from both sides.

• By multiplying each term by the same non-zero constant.

• By dividing each term by a variable.

• By adding a constant to both sides.

What is the least common multiple used for in the context of elimination?

• To simplify the equations.

• To make the coefficients of a variable the same in both equations.

• To determine the smallest coefficient.

• To find the greatest common divisor.

What does it mean if, after elimination, you end up with a statement like 0 = 0?

• The system of equations is inconsistent.

• There is exactly one solution to the system of equations.

• There are infinite solutions to the system of equations.

• There is no solution to the system of equations.

In the elimination method, what should you do if the coefficients of the variable to be eliminated are both positive?

• Add the equations.

• Subtract the equations.

• Multiply the equations.

• Divide the equations.