Chapter 5: Q. 74 (page 611)

In the following exercises, solve the systems of equations by substitution.
$x - 3 y = - 9 2 x + 5 y = 4$

Short Answer

Expert verified

The solution set is $(- 3, 2)$ .

Step by step solution

Step 1. Given Information

In the following exercises, we have to solve the systems of equations by substitution.
$x - 3 y = - 9 2 x + 5 y = 4$

Step 2. Solving the equation x−3y=−9 for the variable x.

$Add 3 y on both side x - 3 y + 3 y = - 9 + 3 y x = - 9 + 3 y$

Step 3. Putting the value of x in the equation 2x+5y=4.

$2 (- 9 + 3 y) + 5 y = 4 - 18 + 6 y + 5 y = 4 - 18 + 11 y = 4 Add 18 on both side - 18 + 11 y + 18 = 4 + 18 11 y = 22 Divide by 11 on both side \frac{11}{11} y = \frac{22}{11} y = 2$

Step 4. Putting the value of y in the equation x=−9+3y.

$x = - 9 + 3 \times 2 x = - 9 + 6 x = - 3$

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In the following exercises, solve the systems of equations by substitution.
$x - 3 y = - 9 2 x + 5 y = 4$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solving the equation x−3y=−9 for the variable x.

Step 3. Putting the value of x in the equation 2x+5y=4.

Step 4. Putting the value of y in the equation x=−9+3y.

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In the following exercises, solve the systems of equations by substitution.x−3y=−92x+5y=4

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solving the equation x−3y=−9 for the variable x.

Step 3. Putting the value of x in the equation 2x+5y=4.

Step 4. Putting the value of y in the equation x=−9+3y.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Applied Mathematics

Statistics

Calculus

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the systems of equations by substitution.
$x - 3 y = - 9 2 x + 5 y = 4$