Chapter 6: Q6. (page 393)

Use substitution to solve each system of equation.
$\begin{matrix} x = - 4 y - 3 \\ 3 x - 2 y = 5 \end{matrix}$

Short Answer

Expert verified

The solution of the given system of equations is $(1, - 1)$ .

Step by step solution

Step 1. Write the given system of equations.

The given system of equations is:

$\begin{array}{l} x = - 4 y - 3 ... (1) \\ 3 x - 2 y = 5 . . . . (2) \end{array}$

Step 2. Solve the given system of equations.

Substitute the value of $x$ from the equation (1) in the equation (2).

$\begin{matrix} 3 x - 2 y = 5 \\ 3 (- 4 y - 3) - 2 y = 5 \\ - 12 y - 9 - 2 y = 5 \\ - 14 y = 5 + 9 \\ - 14 y = 14 \\ y = \frac{14}{- 14} \\ y = - 1 \end{matrix}$

The value of $y$ is $- 1$ .

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

$\begin{matrix} x = - 4 y - 3 \\ = - 4 (- 1) - 3 \\ = 4 - 3 \\ = 1 \end{matrix}$

The value $x$ of is 1.

Therefore, the solution of the given system of equations is $(1, - 1)$ .

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Use substitution to solve each system of equation.
$\begin{matrix} x = - 4 y - 3 \\ 3 x - 2 y = 5 \end{matrix}$

Short Answer

Step by step solution

Step 1. Write the given system of equations.

Step 2. Solve the given system of equations.

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Use substitution to solve each system of equation.x=−4y−33x−2y=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

Calculus

Statistics

Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Use substitution to solve each system of equation.
$\begin{matrix} x = - 4 y - 3 \\ 3 x - 2 y = 5 \end{matrix}$