Understanding Algebraic Equations

The video tutorial explains how to solve a mathematical problem involving a fraction with variables. It starts by setting up the equation and suggests that cross-multiplication is unnecessary. Instead, it derives a system of equations from the given problem. By adding the equations, the value of x is found. Substituting this value into one of the original equations, the value of y is determined. Finally, the video concludes by calculating the ratio of x to y, which is five-fourths.

What is the first step suggested to solve the equation (x + y) / (x - y) = 9?

• Cross-multiply the equation

• Subtract y from x

• Add x and y together

• Write 9 as a fraction with a denominator of 1

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CCSS.HSA.CED.A.3

What system of equations is derived from the given problem?

• x + y = 9 and x - y = 1

• x + y = 1 and x - y = 9

• x - y = 9 and x + y = 1

• x = 9 and y = 1

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

After adding the two equations, what is the value of x?

• x = 4

• x = 5

• x = 7

• x = 6

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CCSS.6.EE.A.2C

What is the value of y after substituting x = 5 into the equation?

• y = 2

• y = 3

• y = 4

• y = 5

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CCSS.3.OA.B.6

What is the final value of x divided by y?

• 3/4

• 4/5

• 5/4

• 6/5

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CCSS.3.OA.B.6