Solving Linear Equations and Inequalities

The video tutorial explains how to solve a system of equations. It starts by solving the equation x divided by 3 equals 5, resulting in x equals 15. Then, it substitutes this value into the second equation, x plus y equals 42, to find y equals 27. Finally, it calculates x minus y, which equals negative 12.

What is the first step to solve the equation x divided by 3 equals 5?

• Divide both sides by 5

• Subtract 5 from both sides

• Multiply both sides by 3

• Add 3 to both sides

If x equals 15, what equation can be used to find y given x plus y equals 42?

• y minus 15 equals 42

• x plus 15 equals 42

• x minus y equals 42

• 15 plus y equals 42

How do you solve for y in the equation 15 plus y equals 42?

• Add 15 to both sides

• Multiply both sides by 15

• Subtract 15 from both sides

• Divide both sides by 15

What is the value of y if x equals 15 and x plus y equals 42?

• 42

• 57

• 27

• 15

What is the result of x minus y if x equals 15 and y equals 27?

• 12

• 42

• -12

• -42