Chapter 11: Q. 22 (page 714)

Solve each system of equations. If the system has no solution, say that it is inconsistent.
$\{\begin{matrix} 4 x + 5 y = - 3 \\ - 2 y = - 8 \end{matrix}$

Short Answer

Expert verified

The solution of the given system of equation is $x = - 5.75, y = 4; (- 5.75, 4)$ .

Step by step solution

Step 1. Given information.

The given equations are:

$\begin{array}{rcl} 4 x + 5 y & = & - 3 \\ - 2 y & = & - 8 \end{array}$

Step 2. Determine the value of one variable.

The second equation can be written as:

$\begin{array}{rcl} - 2 y & = & - 8 \\ y & = & \frac{- 8}{- 2} \\ y & = & 4 \end{array}$

Step 3. Determine the value of another variable.

Substitute $y = 4$ in the first equation.

$\begin{array}{rcl} 4 x + 5 (4) & = & - 3 \\ 4 x + 20 & = & - 3 \\ 4 x & = & - 3 - 20 \\ x & = & \frac{- 23}{4} \\ x & = & - 5.75 \end{array}$

The solution of the given system of equation is localid="1646833807484" $x = - 5.75, y = 4; (- 5.75, 4)$ .

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Solve each system of equations. If the system has no solution, say that it is inconsistent.
$\{\begin{matrix} 4 x + 5 y = - 3 \\ - 2 y = - 8 \end{matrix}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the value of one variable.

Step 3. Determine the value of another variable.

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Solve each system of equations. If the system has no solution, say that it is inconsistent.4x+5y=-3-2y=-8

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Determine the value of one variable.

Step 3. Determine the value of another variable.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Statistics

Discrete Mathematics

Logic and Functions

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve each system of equations. If the system has no solution, say that it is inconsistent.
$\{\begin{matrix} 4 x + 5 y = - 3 \\ - 2 y = - 8 \end{matrix}$