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Chapter 2: Q1. (page 69)

Solve each system of equations by the substitution method.

y=3x5x+y=24

Short Answer

Expert verified

The solution of given system of equations is x=3, y=9.

Step by step solution

01

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

Substitute 3x for y into 5x+y=24and simplify.

5x+3x=248x=24

02

Step 2. Solve for one variable.

Divide each side of the equation obtained in step 1 by 8 to find the value of x.

8x8=248x=3

03

Step 3. Solve for another variable.

Substitute 3 for x into y=3x, to find the value ofy.
y=3脳3=9

Therefore, the solution of given system of equations is x=3, y=9.

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