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Chapter 10: Q.27 (page 546)

Solve the linear system by graphing.

x+y=62x鈭�8y=鈭�11

Short Answer

Expert verified

Solution of the given system is 3.7,2.3.

Step by step solution

01

Step 1. Given Information.

Linear system is:

x+y=62x鈭�8y=鈭�11

02

Step 2. Property used.

Substitution property.

03

Step 3. Calculation.

For equation: x+y=6

Put the value of x in y, Hence,

For equation: 2x-8y=-11

Put the value of x in y, Hence,

Now, both lines meet at point3.7,2.3.

Equation 1: x+y=6

Equation 2: 2x-8y=-11

By substituting the value of y from equation 1 to equation 2.

2x鈭�86鈭�x=鈭�112x鈭�48+8x=鈭�1110x=鈭�11+48x=3710

Now substituting the value of x in equation 1.

3710+y=6y=6鈭�3710=2310

Hence, both lines meet at point3.7,2.3.

04

Step 4. Conclusion.

The solution to the given linear system is3.7,2.3.

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Most popular questions from this chapter

The triangle shown is an equilateral triangle. Make 6 copies of the triangle. Put the 6 equilateral triangles together so that they all share a vertex and do not overlap. The figure formed is a regular hexagon. Find the sum of the measures of the angles of the regular hexagon. Explain your reasoning.

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