Chapter 5: Q. 72 (page 611)

In the following exercises, solve the systems of equations by substitution.
$2 x + y = - 2 3 x - y = 7$

Short Answer

Expert verified

The solution set is $(1, - 4)$ .

Step by step solution

Step 1. Given Information

In the following exercises, we have to solve the systems of equations by substitution.
$2 x + y = - 2 3 x - y = 7$

Step 2. Solving the equation 2x+y=−2 for the variable y.

$Subtract 2 x on both side 2 x + y - 2 x = - 2 - 2 x y = - 2 - 2 x$

Step 3. Putting the value of y in the equation 3x−y=7.

$3 x - (- 2 - 2 x) = 7 3 x + 2 + 2 x = 7 5 x + 2 = 7 S u b t r a c t 2 o n b o t h s i d e 5 x + 2 - 2 = 7 - 2 5 x = 5 D i v i d e b y 5 o n b o t h s i d e \frac{5}{5} x = \frac{5}{5} x = 1$

Step 4. Putting the value of x in the equation y=−2-2x.

$y = - 2 - 2 \times 1 y = - 2 - 2 y = - 4$

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In the following exercises, solve the systems of equations by substitution.
$2 x + y = - 2 3 x - y = 7$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solving the equation 2x+y=−2 for the variable y.

Step 3. Putting the value of y in the equation 3x−y=7.

Step 4. Putting the value of x in the equation y=−2-2x.

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In the following exercises, solve the systems of equations by substitution.2x+y=−23x−y=7

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solving the equation 2x+y=−2 for the variable y.

Step 3. Putting the value of y in the equation 3x−y=7.

Step 4. Putting the value of x in the equation y=−2-2x.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Geometry

Mechanics Maths

Discrete Mathematics

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the systems of equations by substitution.
$2 x + y = - 2 3 x - y = 7$