Chapter 6: Q10. (page 330)

Use elimination to solve each system of equation.
$\begin{matrix} x + y = 13 \\ x - y = 5 \end{matrix}$

Short Answer

Expert verified

The solution of the given system of equations is $(9, 4)$ .

Step by step solution

Step 1. Write the given system of equations.

The given system of equations is:

$\begin{matrix} x + y = 13 . . . (1) \\ x - y = 5 . . . (2) \end{matrix}$

Step 2. Solve the given system of equations.

Add the equations (1) and (2) to eliminate the variable $y$ .

$\begin{array}{l} x + y = 13 \\ x - y = 5 \\ \bar{2 x = 18} \\ x = \frac{18}{2} \\ x = 9 \end{array}$

The value of $x$ is 9.

Substitute 9 for $x$ in the equation (1) to find the value of $y$ .

$\begin{matrix} x + y = 13 \\ 9 + y = 13 \\ y = 13 - 9 \\ y = 4 \end{matrix}$

The value of $y$ is 4.

Therefore, the solution of the given system of equations is $(9, 4)$ .

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Use elimination to solve each system of equation.
$\begin{matrix} x + y = 13 \\ x - y = 5 \end{matrix}$

Short Answer

Step by step solution

Step 1. Write the given system of equations.

Step 2. Solve the given system of equations.

One App. One Place for Learning.

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Use elimination to solve each system of equation.x+y=13x−y=5

Short Answer

Step by step solution

Step 1. Write the given system of equations.

Step 2. Solve the given system of equations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Logic and Functions

Pure Maths

Theoretical and Mathematical Physics

Applied Mathematics

Decision Maths

Study anywhere. Anytime. Across all devices.

Use elimination to solve each system of equation.
$\begin{matrix} x + y = 13 \\ x - y = 5 \end{matrix}$