Solving Systems of Equations

This video tutorial demonstrates how to translate a word problem into a system of equations and solve it. The problem involves finding two numbers where their sum is -35, and one number is five less than twice the other. The tutorial guides through defining variables, translating the problem into equations, and solving the system to find the numbers -25 and -10.

What is the first step in translating a word problem into a system of equations?

• Identify the variables

• Solve the equations

• Translate the problem into equations

• Check the solution

In the given problem, what does the sum of two numbers equal?

• 35

• 0

• -35

• -30

What variable is used to represent the first number?

• m

• n

• y

• x

How is the second number represented in the problem?

• m

• n

• y

• x

How is the statement 'one number is five less than twice the other' translated into an equation?

• n = 2m + 5

• n = 2m - 5

• n = 5 - 2m

• n = m - 5

What is the equation for the sum of the two numbers?

• n - m = -35

• n - m = 35

• n + m = -35

• n + m = 35

What method is used to solve the system of equations?

• Graphing

• Trial and Error

• Substitution

• Elimination

What is the first step in solving the system of equations?

• Divide the equations

• Multiply the equations

• Substitute the expression for n

• Add the equations

What operation is performed after combining like terms?

• Add five to both sides

• Multiply both sides by three

• Divide both sides by three

• Subtract five from both sides

What is the final step in solving for n?

• Graph the equations

• Multiply the equations

• Add the equations

• Substitute into the second equation