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Chapter 2: Q6. (page 69)

Solve each system of equations by the substitution method.

y=3x+8x=y

Short Answer

Expert verified

The solution of the given system of equations is x=−4, y=−4.

Step by step solution

01

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

Substitute y for x into y=3x+8and simplify.

y=3y+82y=−8

02

Step 2. Solve for one variable.

Divide each side of the equation obtained in step 1 to find the value of y.

2y2=−82y=−4

03

Step 3. Solve for another variable.

Substitute –4 for y into x=y, to find the value of x.

x=−4

Therefore, the solution of given system of equations is x=−4, y=−4.

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