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Chapter 6: Q5. (page 393)

Use substitution to solve each system of equation.

y=x+82x+y=鈭�10

Short Answer

Expert verified

The solution of the given system of equations is(鈭�6,2).

Step by step solution

01

Step 1. Write the given system of equations.

The given system of equations is:

y=x+8...(1)2x+y=鈭�10...(2)

02

Step 2. Solve the given system of equations.

Substitute the value of y from the equation (1) in the equation (2).

2x+y=鈭�102x+x+8=鈭�103x+8=鈭�103x=鈭�10鈭�83x=鈭�18x=鈭�183x=鈭�6

The value of xis -6.

Substitute-6 forx in the equation (1) to find the value of y.

y=x+8=鈭�6+8=2

The value of yis 2.

Therefore, the solution of the given system of equations is (鈭�6,2).

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Most popular questions from this chapter

Use elimination to solve each system of equations.

x+y=9x鈭�y=鈭�3

Use elimination to solve each system of equations.

6x+y=9鈭�6x+3y=15

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

x+y=6x鈭�y=4

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.

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
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