Chapter 6: Q9. (page 361)

Use substitution to solve each system of equations.
$y = x + 4 2 x + y = 16$

Short Answer

Expert verified

The required solution is represented by $x = 4$ and $y = 7$ .

Step by step solution

Step 1. Number the provided equations.

Make consideration that,

$\begin{array}{l} y = x + 4 ...... (1) \\ 2 x + y = 16 ...... (2) \end{array}$

Step 2. Take the help of equation (1) to get the value of x after it use the obtained value to get the value of y.

The equation (1) is representing the value of y in the form of an expression so use it for the equation (2) to extract the value of x.

$2 x + (x + 4) = 16 3 x + 4 = 16 3 x = 16 - 4 x = \frac{12}{3} x = 4$

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

$y = 3 + 4 = 7$

Step 3. Write the conclusion.

The obtained value of x and y represents the required solution that is $x = 4$ and $y = 7$ .

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Use substitution to solve each system of equations.
$y = x + 4 2 x + y = 16$

Short Answer

Step by step solution

Step 1. Number the provided equations.

Step 2. Take the help of equation (1) to get the value of x after it use the obtained value to get the value of y.

Step 3. Write the conclusion.

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Use substitution to solve each system of equations. y=x+42x+y=16

Short Answer

Step by step solution

Step 1. Number the provided equations.

Step 2. Take the help of equation (1) to get the value of x after it use the obtained value to get the value of y.

Step 3. Write the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Use substitution to solve each system of equations.
$y = x + 4 2 x + y = 16$