Solving Systems of Equations Using Substitution

The video tutorial explains how to solve systems of equations using the substitution method. It begins with an introduction to systems of equations and the concept of finding solutions that satisfy all equations. The tutorial demonstrates the equal values method, where equations are set equal to each other to solve for one variable. It then shows how to find the solution as a coordinate pair and discusses solving equations not in the standard y=mx+b form using substitution and the distributive property.

What does it mean to solve a system of equations?

• Finding values that make one equation true

• Finding values that make all variables zero

• Finding values that make both equations true

• Finding values that make the equations equal to zero

If y = 3x - 4 and y = -2x + 6, what can you do to solve for x?

• Add the equations together

• Subtract the equations

• Multiply the equations

• Set the equations equal to each other

What is the next step after setting 3x - 4 equal to -2x + 6?

• Divide both sides by 2

• Multiply both sides by 2

• Add 2x to both sides

• Subtract 2x from both sides

After finding x = 2, what should you do next?

• Graph the equations

• Solve for y by substituting x into one of the original equations

• Write the solution as a coordinate pair

• Check the solution by substituting x into both equations

What is the final step after finding the values of x and y?

• Graph the equations

• Write the solution as a coordinate pair

• Multiply the values of x and y

• Check the solution by substituting into both equations

What is the solution to the system of equations y = 3x - 4 and y = -2x + 6?

• (2, 2)

• (1, 1)

• (0, 0)

• (3, 3)

What is the first step in solving the system 2x - 3y = -1 and y = x - 1?

• Multiply the equations

• Substitute x - 1 for y in the first equation

• Add the equations together

• Subtract the equations

After substituting y = x - 1 into 2x - 3y = -1, what is the next step?

• Distribute -3

• Subtract 3 from both sides

• Combine like terms

• Add 3 to both sides

What is the value of x when solving 2x - 3(x - 1) = -1?

• 5

• 4

• 3

• 2

What is the coordinate pair solution for the system 2x - 3y = -1 and y = x - 1?

• (4, 3)

• (3, 3)

• (1, 1)

• (2, 2)