Chapter 3: Q9. (page 149)

Solve each system of equation by graphing, substitution, or elimination.
$\begin{matrix} 2 y = 5 x - 1 \\ x + y = - 1 \end{matrix}$

Short Answer

Expert verified

The solution is $x = - \frac{1}{7}, y = - \frac{6}{7}$ .

Step by step solution

Step-1 – Concept of elimination

The process of adding or subtracting equation to remove a variable and simplify solving the system of equations is called elimination.

Step-2 – Using elimination to solve the equation

Given equations are-:

$\begin{matrix} 2 y = 5 x - 1 \\ x + y = - 1 \end{matrix}$

Multiplying the second equation by $5$ and adding with first equation, we get

$\begin{matrix} 2 y + 5 y = - 1 - 5 \\ 7 y = - 6 \\ y = - \frac{6}{7} \end{matrix}$

Step-3 – Substituting the value of y in second equation, we get

$\begin{matrix} x + y = - 1 \\ x - \frac{6}{7} = - 1 \\ x = - 1 + \frac{6}{7} \\ x = - \frac{1}{7} \end{matrix}$

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Solve each system of equation by graphing, substitution, or elimination.
$\begin{matrix} 2 y = 5 x - 1 \\ x + y = - 1 \end{matrix}$

Short Answer

Step by step solution

Step-1 – Concept of elimination

Step-2 – Using elimination to solve the equation

Step-3 – Substituting the value of y in second equation, we get

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Solve each system of equation by graphing, substitution, or elimination.2y=5x-1x+y=-1

Short Answer

Step by step solution

Step-1 – Concept of elimination

Step-2 – Using elimination to solve the equation

Step-3 – Substituting the value of y in second equation, we get

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Logic and Functions

Discrete Mathematics

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Probability and Statistics

Study anywhere. Anytime. Across all devices.

Solve each system of equation by graphing, substitution, or elimination.
$\begin{matrix} 2 y = 5 x - 1 \\ x + y = - 1 \end{matrix}$