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Chapter 2: Q3. (page 69)

Solve each system of equations by the substitution method.

x=8+3y2x-5y=8

Short Answer

Expert verified

The solution of given system of equations is x=鈭�16, y=鈭�8.

Step by step solution

01

Step 1. Substitute value of one variable from one equation to another.

Substitute8+3y for x into2x鈭�5y=8 and simplify.

28+3y鈭�5y=816+6y鈭�5y=816+y=8

02

Step 2. Solve for one variable.

Subtract 16 from both the sides of the equation obtained in step 1 to find the value of y.

16+y鈭�16=8鈭�16y=鈭�8

03

Step 3. Solve for another variable.

Substitute 鈥�8 for y into x=8+3y, to find the value of x.

x=8+3脳鈭�8=8鈭�24=鈭�16

Therefore, the solution of given system of equations is x=鈭�16, y=鈭�8.

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