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Chapter 6: Q5. (page 396)

Use substitution to solve each system of equations.

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 ofy 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 xof is 鈭�6.

Substitute -6for xin 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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