Chapter 5: Q. 98 (page 611)

In the following exercises, solve the systems of equations by substitution.
$2 x - 15 y = 7 12 x + 2 y = - 4$

Short Answer

Expert verified

The ordered pair is $(\frac{- 1}{4}, \frac{- 1}{2})$

Step by step solution

Step 1. Given Information

The given equations are

$2 x - 15 y = 7 12 x + 2 y = - 4$

Step 2. Calculation

Solve the second equation for variable y.

$12 x + 2 y = - 4 2 y = - 4 - 12 x y = \frac{- 4 - 12 x}{2} y = - 2 - 6 x$

Now substitute the obtained value of y in the first equation, we get,

$2 x - 15 (- 2 - 6 x) = 7 2 x + 30 + 90 x = 7 92 x = - 23 x = \frac{- 1}{4}$

Substitute the value of x to find the value of variable y.

$y = - 2 - 6 (\frac{- 1}{4}) y = - 2 + \frac{3}{2} y = \frac{- 4 + 3}{2} y = - \frac{1}{2}$

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In the following exercises, solve the systems of equations by substitution.
$2 x - 15 y = 7 12 x + 2 y = - 4$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

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In the following exercises, solve the systems of equations by substitution.2x-15y=712x+2y=-4

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Theoretical and Mathematical Physics

Probability and Statistics

Statistics

Mechanics Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the systems of equations by substitution.
$2 x - 15 y = 7 12 x + 2 y = - 4$