Solving and Verifying Linear Equations

The video tutorial covers solving two algebraic equations involving fractions and negative numbers. The first equation, -1 = 5 + x/6, is solved by isolating the variable x, resulting in x = -36. The solution is verified by substituting back into the original equation. The second equation, 9x - 7 = -7, is solved by isolating x, resulting in x = 0, which is also verified. The video concludes with a call to action to subscribe for more math and science content.

What is the first step in solving the equation -1 = 5 + x/6?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 6

• Divide both sides by 6

After subtracting 5 from both sides in the equation -1 = 5 + x/6, what is the resulting equation?

• 0 = x/6

• -6 = x/6

• 4 = x/6

• -1 = x/6

What operation is used to isolate x in the equation -6 = x/6?

• Addition

• Subtraction

• Multiplication

• Division

What is the value of x in the equation -1 = 5 + x/6 after solving it?

• x = 36

• x = -6

• x = -36

• x = 6

How do you verify the solution x = -36 in the equation -1 = 5 + x/6?

• Add 36 to both sides

• Multiply both sides by 6

• Substitute x = -36 into the equation and check if both sides are equal

• Subtract 36 from both sides

What is the first step in solving the equation 9x - 7 = -7?

• Subtract 7 from both sides

• Add 7 to both sides

• Divide both sides by 9

• Multiply both sides by 9

After adding 7 to both sides in the equation 9x - 7 = -7, what is the resulting equation?

• 9x = 0

• 9x = -14

• 9x = -7

• 9x = 7

What is the value of x in the equation 9x = 0 after solving it?

• x = 1

• x = 0

• x = 9

• x = -9

How do you verify the solution x = 0 in the equation 9x - 7 = -7?

• Substitute x = 0 into the equation and check if both sides are equal

• Multiply both sides by 9

• Subtract 7 from both sides

• Add 7 to both sides

What is the final step in verifying the solution for x in the equation 9x - 7 = -7?

• Check if 9 times 0 equals 7

• Check if 9 times 0 equals -7

• Check if 9 times 0 minus 7 equals -7

• Check if 9 times 0 plus 7 equals -7