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Chapter 6: Q10. (page 361)

Use substitution to solve each system of equations.

y=−2x−3x+y=9

Short Answer

Expert verified

The required solution is represented by x=−12and y=21.

Step by step solution

01

Step 1. Number the provided equations.

Make consideration that,

y=−2x−3......1x+y=9......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.

x+−2x−3=9−x−3=9−x=9+3x=−12

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

y=−2−12−3=24−3=21

03

Step 3. Write the conclusion.

The obtained value of x and y represents the required solution that is x=−12, and y=21.

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Most popular questions from this chapter

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

2x−3y=−6y=−3x+2

Sean is trying to find two numbers with a sum of 14 and a difference of 4. Define two variables, write a system of equations, and solve by graphing.

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

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