Chapter 2: Q1. (page 69)

Solve each system of equations by the substitution method.
$\begin{matrix} y = 3 x \\ 5 x + y = 24 \end{matrix}$

Short Answer

Expert verified

The solution of given system of equations is $x = 3$ , $y = 9$ .

Step by step solution

Step 1. Substitute value of one variable from one equation to another.

Substitute $3 x$ for y into $5 x + y = 24$ and simplify.

$\begin{matrix} 5 x + 3 x = 24 \\ 8 x = 24 \end{matrix}$

Step 2. Solve for one variable.

Divide each side of the equation obtained in step 1 by 8 to find the value of x.

$\begin{matrix} \frac{8 x}{8} = \frac{24}{8} \\ x = 3 \end{matrix}$

Step 3. Solve for another variable.

Substitute 3 for x into $y = 3 x$ , to find the value ofy.
$\begin{matrix} y = 3 \times 3 \\ = 9 \end{matrix}$

Therefore, the solution of given system of equations is $x = 3$ , $y = 9$ .

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Solve each system of equations by the substitution method.
$\begin{matrix} y = 3 x \\ 5 x + y = 24 \end{matrix}$

Short Answer

Step by step solution

Step 1. Substitute value of one variable from one equation to another.

Step 2. Solve for one variable.

Step 3. Solve for another variable.

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Solve each system of equations by the substitution method.y=3x5x+y=24

Short Answer

Step by step solution

Step 1. Substitute value of one variable from one equation to another.

Step 2. Solve for one variable.

Step 3. Solve for another variable.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Logic and Functions

Mechanics Maths

Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve each system of equations by the substitution method.
$\begin{matrix} y = 3 x \\ 5 x + y = 24 \end{matrix}$