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Chapter 10: Q.25 (page 546)

Solve the linear system by graphing.

y=x鈭�5y=2x+1

Short Answer

Expert verified

Solution of the given system is-6,-11.

Step by step solution

01

Step 1. Given Information.

Linear system is:

y=x鈭�5y=2x+1

02

Step 2. Property used.

Substitution property.

03

Step 3. Calculation.

For equation: y=x-5

Put the value of x in y, Hence,

For equation: y=2x+1

Put the value of x in y, Hence,

Now, both lines meet at point-6,-11.

Equation 1: y=x-5

Equation 2: y=2x+1

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

x鈭�5=2x+1x=鈭�6

Now substituting the value of x in equation 1.

y=鈭�6鈭�5=鈭�11

Hence, both lines meet at point-6,-11.

04

Step 4. Conclusion.

The solution to the given linear system is-6,-11.

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