Chapter 8: Q36. (page 411)

Find the value of athat makes the ordered pair a solution of the equation.
$y = - 3 x - 1; (a, 5)$

Short Answer

Expert verified

The value $a = - 2$ would make the ordered pair $(a, 5)$ a solution of the given equation.

Step by step solution

Step 1. Given Information.

An equation: $y = - 3 x - 1$ and the point: $(a, 5)$

Step 2. Calculation.

To find the value of a, we will substitute coordinates of given point in our given equation and solve for a as:

$\begin{matrix} y = - 3 x - 1 (Givenequation) \\ 5 = - 3 (a) - 1 (Substituting x = a and y = 5) \\ 5 = - 3 a - 1 \\ 5 + 1 = - 3 a - 1 + 1 (Adding 1 to each side) \\ 6 = - 3 a \\ - 3 a = 6 (Switchingsides) \\ \frac{- 3 a}{- 3} = \frac{6}{- 3} (Dividingbothsidesby - 3) \\ a = - 2 \end{matrix}$

Therefore, the value of a would be $- 2$ .

Step 3. Conclusion.

The value of a would be $- 2$ .

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Find the value of athat makes the ordered pair a solution of the equation.
$y = - 3 x - 1; (a, 5)$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Find the value of athat makes the ordered pair a solution of the equation.y=-3x-1;a,5

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Mechanics Maths

Probability and Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

Find the value of athat makes the ordered pair a solution of the equation.
$y = - 3 x - 1; (a, 5)$