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Solve the system of equation.

x+y=102x+y=11

Short Answer

Expert verified

The solution is x=1,y=9.

Step by step solution

01

Step 1- Consider the equation.

Consider the system of equation

x+y=10(1)2x+y=11(2)

02

Step 2- Step description.

Multiply the equation (1) by 2 such that 2x+2y=20. (3)

Subtract the equation (2) from the equation (3) as follows:

2x+2y−(2x+y)=20−112x+2y−2x−y=20−11y=9

03

Step 3- Step description.

Substitute the value of y in equation (1).

x+y=10x+9=10x=10−9x=1

Therefore, the solution is x=1,y=9.

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