Solving Equations for y

The video tutorial explains how to solve the equation 2 - 3y = 4x for the variable y. It begins by isolating the y term, then solving for y by dividing both sides by -3. The tutorial also explores alternative ways to express y, such as avoiding negative denominators and dividing each term separately. The video concludes with a verification of the results.

What is the first step in solving the equation 2 - 3y = 4x for y?

• Divide both sides by 4

• Add 3 to both sides

• Subtract 2 from both sides

• Multiply both sides by 3

Tags

CCSS.HSA.REI.A.1

Why can't we add 3 to both sides to isolate y in the equation 2 - 3y = 4x?

• Because 3 is a negative number

• Because 3 is attached to y by multiplication

• Because 3 is not a constant

• Because 3 is on the right side of the equation

Tags

CCSS.6.EE.C.9

After subtracting 2 from both sides, what is the resulting equation?

• -3y = 4x - 2

• 3y = 4x + 2

• y = 4x - 2

• y = 4x + 2

Tags

CCSS.7.EE.B.4A

What operation is used to solve for y after isolating the y term?

• Multiplying by 3

• Dividing by -3

• Adding 3

• Subtracting 3

Tags

CCSS.6.EE.C.9

What is the expression for y after dividing both sides by -3?

• y = (4x + 2) / 3

• y = (4x - 2) / 3

• y = (4x + 2) / -3

• y = (4x - 2) / -3

Tags

CCSS.HSA.APR.D.6

Why is it uncommon to have a negative value in the denominator?

• It makes calculations more complex

• It is not mathematically correct

• It is harder to interpret

• It is not a standard form

Tags

CCSS.HSA.APR.D.6

How can we make the denominator positive in the expression y = (4x - 2) / -3?

• Subtract 1 from the numerator and denominator

• Divide the numerator and denominator by -1

• Multiply the numerator and denominator by -1

• Add 1 to the numerator and denominator

Tags

CCSS.HSA.CED.A.4

What is the expression for y after multiplying the numerator and denominator by -1?

• y = (4x + 2) / 3

• y = (-4x - 2) / 3

• y = (-4x + 2) / 3

• y = (4x - 2) / 3

Tags

CCSS.6.EE.C.9

What is the final simplified form of y after dividing each term in the numerator by 3?

• y = -4/3x + 2/3

• y = 4/3x - 2/3

• y = -4x/3 + 2/3

• y = 4x/3 - 2/3

Tags

CCSS.6.EE.C.9

What is another way to express y after dividing each term in the numerator by -3?

• y = 4x/3 + 2/3

• y = -4x/3 - 2/3

• y = 4/3x - 2/3

• y = -4/3x + 2/3

Tags

CCSS.6.EE.C.9