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Chapter 10: Q.26 (page 546)

Solve the linear system by graphing.

y=鈭�3x+7y=3x+4

Short Answer

Expert verified

Solution of the given system is12,112.

Step by step solution

01

Step 1. Given Information.

Linear system is:

y=鈭�3x+7y=3x+4,

02

Step 2. Property used.

Substitution property.

03

Step 3. Calculation.

For equation: y=-3x+7

Put the value of x in y, Hence,

For equation: y=3x+4

Put the value of x in y, Hence,

Now, both lines meet at pointlocalid="1649433865504" 12,112.

Equation 1: y=-3x+7

Equation 2: y=3x+4

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

鈭�3x+7=3x+46x=3x=36=12

Now substituting the value of x in equation 1.

y=鈭�312+7=鈭�32+7=112

Hence, both lines meet at point12,112.

04

Step 4. Conclusion.

The solution to the given linear system is12,112.

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