Solving Linear Equations and Coordinates

The video tutorial demonstrates how to solve a two-variable linear equation by substituting values for x and y to find corresponding solutions. It also shows how to graph these solutions on a coordinate plane. An alternative method of simplifying the equation is presented for easier solving.

What is the first step in solving for y when x is -5?

• Add 5 to both sides

• Substitute x with -5

• Divide both sides by 2

• Multiply both sides by 3

After substituting x with -5, what is the next step to isolate y?

• Multiply by 5

• Subtract 2y from both sides

• Add 7 to both sides

• Divide by 3

What is the value of y when x is -5?

• -8

• 8

• -5

• 5

What is the first step in solving for x when y is 8?

• Substitute y with 8

• Divide both sides by 5

• Multiply both sides by 2

• Add 8 to both sides

After substituting y with 8, what is the next step to isolate x?

• Add 3x to both sides

• Divide by 8

• Subtract 16 from both sides

• Multiply by 5

What is the value of x when y is 8?

• 5

• -5

• 8

• -8

What are the coordinates of the point when x is -5 and y is -8?

• (-5, -8)

• (5, 8)

• (5, -8)

• (-5, 8)

What are the coordinates of the point when x is 5 and y is 8?

• (-5, 8)

• (5, -8)

• (-5, -8)

• (5, 8)

What is the alternative method suggested for solving the equation?

• Guessing the values

• Using a calculator

• Simplifying the equation first

• Graphing directly

What is the simplified form of the equation y = 8/5 x used for?

• Both solving for y and x

• Finding the slope

• Solving for y when x is known

• Solving for x when y is known