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Chapter 6: Q9. (page 361)

Use substitution to solve each system of equations.

y=x+42x+y=16

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Number the provided equations.

Make consideration that,

y=x+4......12x+y=16......2

02

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.

2x+x+4=163x+4=163x=16鈭�4x=123x=4

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

y=3+4=7

03

Step 3. Write the conclusion.

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

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Most popular questions from this chapter

State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.

In some cases, dividing two equations in a system together will eliminate one of the variables. This process is called elimination.

Tionna has saved dimes and quarters in her piggy bank. Define the variables, and write equations to find the number of dimes and quarters. Then solve using the best method for the situation.

$4.00

25 coins

Graph each system and determine the number of solutions that it has. If it has one solution, name it.

y=2x鈭�3y=x+4

Use substitution to solve each system of equations.

y=鈭�2x鈭�3x+y=9

State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.

If a system has no solution, it is said to be inconsistent.
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