Chapter 4: Q 31 (page 386)

Solve the systems of equations by substitution.
$\{\begin{cases} 2 x + y = - 2 \\ 3 x - y = 7 \end{cases}$

Short Answer

Expert verified

The solution of system of linear equation is $(1, - 4)$

Step by step solution

Step 1. Given information

The system of equations is $\{\begin{cases} 2 x + y = - 2 \\ 3 x - y = 7 \end{cases}$

Step 2. Substitute the value of y from one equation into other equation

$2 x + y = - 2 y = - 2 x - 2$

Now,

$3 x - y = 7 3 x - (- 2 x - 2) = 7 3 x + 2 x + 2 = 7 5 x = 5 x = 1$

Step 3. Substitute the value of x in any equation

$2 x + y = - 2 2 (1) + y = - 2 y = - 4$

Step 4. Required answer

The solution of system of linear equation is $(1, - 4)$

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Solve the systems of equations by substitution.
$\{\begin{cases} 2 x + y = - 2 \\ 3 x - y = 7 \end{cases}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Substitute the value of y from one equation into other equation

Step 3. Substitute the value of x in any equation

Step 4. Required answer

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Solve the systems of equations by substitution.2x+y=-23x-y=7

Short Answer

Step by step solution

Step 1. Given information

Step 2. Substitute the value of y from one equation into other equation

Step 3. Substitute the value of x in any equation

Step 4. Required answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

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Probability and Statistics

Calculus

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Study anywhere. Anytime. Across all devices.

Solve the systems of equations by substitution.
$\{\begin{cases} 2 x + y = - 2 \\ 3 x - y = 7 \end{cases}$