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Chapter 6: Q6. (page 393)

Use substitution to solve each system of equation.

x=鈭�4y鈭�33x鈭�2y=5

Short Answer

Expert verified

The solution of the given system of equations is (1,鈭�1).

Step by step solution

01

Step 1. Write the given system of equations.

The given system of equations is:

x=鈭�4y鈭�3...(1)3x鈭�2y=5....(2)

02

Step 2. Solve the given system of equations.

Substitute the value ofxfrom the equation (1) in the equation (2).

3x鈭�2y=53(鈭�4y鈭�3)鈭�2y=5鈭�12y鈭�9鈭�2y=5鈭�14y=5+9鈭�14y=14y=14鈭�14y=鈭�1

The value ofyis-1.

Substitute-1foryin the equation (1) to find the value ofx.

x=鈭�4y鈭�3=鈭�4(鈭�1)鈭�3=4鈭�3=1

The valuexof is 1.

Therefore, the solution of the given system of equations is(1,鈭�1).

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