Chapter 3: Q51. (page 133)

Multiple Choice For which equation is 6 a solution?
F. – 2y – 7 = 11 – 5y
G. 11y – 32 =7y – 12
H. 18y – 16 =13y + 19
I. – 7y – 24 = – 8 – 9y

Short Answer

Expert verified

The correct answer if F. $- 2 y - 7 = 11 - 5 y$

Step by step solution

Step-1 – Given

The given equations are:

$- 2 y - 7 = 11 - 5 y, 11 y - 32 = 7 y - 12, 18 y - 16 = 13 y + 19, - 7 y - 24 = - 8 - 9 y$

Step-2 – To determine

We have to identify the equation whose solution is 6.

Step-3 – Calculation

We check the equation of F first,

$\begin{array}{l} - 2 y - 7 = 11 - 5 y \\ - 2 y - 7 + 7 = 11 - 5 y + 7 [add7toeachside] \\ - 2 y = 18 - 5 y \\ - 2 y + 5 y = 18 - 5 y + 5 y [add5 y toeachside] \\ 3 y = 18 \\ 3 y \div 3 = 18 \div 3 [divideeachsideby3] \\ y = 6 \end{array}$

We got 6 as a solution of this equation. So, the equation $- 2 y - 7 = 11 - 5 y$ has a solution equal to 6 Hence, the option F is the correct answer.

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Multiple Choice For which equation is 6 a solution?
F. – 2y – 7 = 11 – 5y
G. 11y – 32 =7y – 12
H. 18y – 16 =13y + 19
I. – 7y – 24 = – 8 – 9y

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

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Multiple Choice For which equation is 6 a solution?F. – 2y – 7 = 11 – 5yG. 11y – 32 =7y – 12H. 18y – 16 =13y + 19I. – 7y – 24 = – 8 – 9y

Short Answer

Step by step solution

Step-1 – Given

Step-2 – To determine

Step-3 – Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Discrete Mathematics

Logic and Functions

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Multiple Choice For which equation is 6 a solution?
F. – 2y – 7 = 11 – 5y
G. 11y – 32 =7y – 12
H. 18y – 16 =13y + 19
I. – 7y – 24 = – 8 – 9y