Chapter 6: Q11. (page 361)

Use substitution to solve each system of equations.
$\begin{matrix} x + y = 6 \\ x - y = 8 \end{matrix}$

Short Answer

Expert verified

The required solution is represented by $x = 7$ and $y = - 1$ .

Step by step solution

Step 1. Number the provided equations.

Make consideration that,

$\begin{array}{l} x + y = 6 ...... (1) \\ x - y = 8 ...... (2) \end{array}$

Step 2. Take the help of equation (2) to get the value of x after it use the obtained value to get the value of y.

Perform addition of y on both sides of the equation (2) to get the value of x in the form of an expression.

$x = 8 + y ...... (3)$

Use the obtained value of x for the equation (1) to extract the value of y.

role="math" localid="1647520205682" $8 + y + y = 6 2 y = 6 - 8 2 y = - 2 y = \frac{- 2}{2} = - 1$

Use the obtained value of y into equation (3) to get the value of x.

$x = 8 - 1 = 7$

Step 3. Write the conclusion.

The obtained value of x and y represents the required solution that is $x = 7$ and $y = - 1$ .

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Use substitution to solve each system of equations.
$\begin{matrix} x + y = 6 \\ x - y = 8 \end{matrix}$

Short Answer

Step by step solution

Step 1. Number the provided equations.

Step 2. Take the help of equation (2) to get the value of x after it use the obtained value to get the value of y.

Step 3. Write the conclusion.

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Use substitution to solve each system of equations. x+y=6x−y=8

Short Answer

Step by step solution

Step 1. Number the provided equations.

Step 2. Take the help of equation (2) to get the value of x after it use the obtained value to get the value of y.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Calculus

Logic and Functions

Geometry

Theoretical and Mathematical Physics

Statistics

Study anywhere. Anytime. Across all devices.

Use substitution to solve each system of equations.
$\begin{matrix} x + y = 6 \\ x - y = 8 \end{matrix}$