Chapter 6: Q19. (page 361)

Use elimination to solve each system of equations.
$- 5 x + 2 y = - 11 5 x - 7 y = 1$

Short Answer

Expert verified

The required solution is represented by $x = 3$ and $y = 2$ .

Step by step solution

Step 1. Number the provided equations.

Make consideration that,

$- 5 x + 2 y = - 11 ...... (1) 5 x - 7 y = 1 ...... (2)$

Step 2. Perform addition between the provided equations to get the value of y after it use the obtained value to get the value of x.

Perform addition between the equation (1) and equation (2) to extract the value of y.

$(- 5 x + 2 y) + (5 x - 7 y) = - 11 + 1 - 5 x + 2 y + 5 x - 7 y = - 10 2 y - 7 y = - 10 - 5 y = - 10 y = \frac{- 10}{- 5} y = 2$

Use the obtained value of y into equation (1) to get the value of x.

$- 5 x + 2 \times 2 = - 11 - 5 x + 4 = - 11 - 5 x = - 11 - 4 - 5 x = - 15 x = \frac{- 15}{- 5} x = 3$

Step 3. Write the conclusion.

The obtained value of x and y represents the required solution that is $x = 3$ and $y = 2$ .

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Use elimination to solve each system of equations.
$- 5 x + 2 y = - 11 5 x - 7 y = 1$

Short Answer

Step by step solution

Step 1. Number the provided equations.

Step 2. Perform addition between the provided equations to get the value of y after it use the obtained value to get the value of x.

Step 3. Write the conclusion.

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Use elimination to solve each system of equations. −5x+2y=−115x−7y=1

Short Answer

Step by step solution

Step 1. Number the provided equations.

Step 2. Perform addition between the provided equations to get the value of y after it use the obtained value to get the value of x.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Decision Maths

Probability and Statistics

Geometry

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Use elimination to solve each system of equations.
$- 5 x + 2 y = - 11 5 x - 7 y = 1$