Chapter 2: Q2. (page 69)

Solve each system of equations by the substitution method.
$y = 2 x + 5 3 x - y = 4$

Short Answer

Expert verified

The solution of given system of equations is $x = 9$ , $y = 23$ .

Step by step solution

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

Substitute $2 x + 5$ for y into $3 x - y = 4$ and simplify.

$\begin{matrix} 3 x - (2 x + 5) = 4 \\ 3 x - 2 x - 5 = 4 \\ x - 5 = 4 \end{matrix}$

Step 2. Solve for one variable.

Add 5 on each side of the equation obtained in step 1 to find the value of x.

$\begin{matrix} x - 5 + 5 = 4 + 5 \\ x = 9 \end{matrix}$

Step 3. Solve for another variable.

Substitute 9 for x into $y = 2 x + 5$ , to find the value of y.

$y = 2 \times 9 + 5 = 18 + 5 = 23$

Therefore, the solution of a given system of equations is $x = 9$ , y = 23.

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Solve each system of equations by the substitution method.
$y = 2 x + 5 3 x - y = 4$

Short Answer

Step by step solution

Step 1. Substitute the 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=2x+53x-y=4

Short Answer

Step by step solution

Step 1. Substitute the 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

Mechanics Maths

Statistics

Probability and Statistics

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Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve each system of equations by the substitution method.
$y = 2 x + 5 3 x - y = 4$