Chapter 4: Q 32 (page 386)

Solve the systems of equations by substitution.
$\{\begin{cases} x - 2 y = - 5 \\ 2 x - 3 y = - 4 \end{cases}$

Short Answer

Expert verified

The solution of system of linear equation is $(7, 6)$

Step by step solution

Step 1. Given information

The system of equations is $\{\begin{cases} x - 2 y = - 5 \\ 2 x - 3 y = - 4 \end{cases}$

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

$x - 2 y = - 5 2 y = x + 5 y = \frac{x}{2} + \frac{5}{2}$

Now,

$2 x - 3 y = - 4 2 x - 3 (\frac{x}{2} + \frac{5}{2}) = - 4 2 x - \frac{3 x}{2} - \frac{15}{2} = - 4 \frac{x}{2} = \frac{7}{2} x = 7$

Step 3. Substitute the value of x in any equation

$x - 2 y = - 5 7 - 2 y = - 5 - 2 y = - 12 y = 6$

Step 4. Required answer

The solution of system of linear equation is $(7, 6)$

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Solve the systems of equations by substitution.
$\{\begin{cases} x - 2 y = - 5 \\ 2 x - 3 y = - 4 \end{cases}$

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.x-2y=-52x-3y=-4

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

Pure Maths

Geometry

Statistics

Theoretical and Mathematical Physics

Probability and Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve the systems of equations by substitution.
$\{\begin{cases} x - 2 y = - 5 \\ 2 x - 3 y = - 4 \end{cases}$