Chapter 4: Q. 49 (page 386)

In the following exercises, solve the systems of equations by elimination.
$5 x - 3 y = - 1 2 x - y = 2$

Short Answer

Expert verified

The solution for the system of linear equation is $(7, 12)$ .

Step by step solution

Step 1. Given Information

The system of linear equation:

$5 x - 3 y = - 1 . . . . . . . . (1) 2 x - y = 2 . . . . . . . . (2)$

Step 2. Calculation

Here both equations are in standard form. To get opposite coefficients of y multiply second equation with $- 3$ .

$- 3 (2 x - y) = - 3 (2) - 6 x + 3 y = - 6 . . . . . . . . . (3)$

Solve for x:

From equations $(1)$ and $(3)$ :

role="math" localid="1644423137231" $5 x - 3 y = - 1 - 6 x + 3 y = - 6 - x = - 7 x = 7$

Solve for y:

Substitute $x = 7$

in the equation $5 x - 3 y = - 1$ and solve for y.

$5 x - 3 y = - 1 5 (7) - 3 y = - 1 35 - 3 y = - 1 - 3 y = - 1 - 35 - 3 y = - 36 y = \frac{- 36}{- 3} y = 12$

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In the following exercises, solve the systems of equations by elimination.
$5 x - 3 y = - 1 2 x - y = 2$

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 elimination.5x-3y=-12x-y=2

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

Probability and Statistics

Geometry

Pure Maths

Theoretical and Mathematical Physics

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the systems of equations by elimination.
$5 x - 3 y = - 1 2 x - y = 2$