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Chapter 4: Q74. (page 188)

Solve the system of equation.

6x+2y=223x+7y=41

Short Answer

Expert verified

The solution is x=2,y=5.

Step by step solution

01

Step 1- Consider the equation.

Consider the system of equation

6x+2y=22(1)3x+7y=41(2)

02

Step 2- Step description.

Multiply the equation (2) by 2 such that 6x+14y=82. (3)

Subtract the equation (1) from the equation (3) as follows:

6x+14y鈭�(6x+2y)=82鈭�226x+14y鈭�6x鈭�2y=6012y=60y=5

03

Step 3- Step description.

Substitute the value of x in equation (1).

6x+2y=226x+2(5)=226x+10=226x=12x=2

Therefore, the solution is x=2,y=5.

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