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Chapter 4: Q72. (page 188)

Solve the system of equation.

2x+y=54x+y=9

Short Answer

Expert verified

The solution is x=2,y=1.

Step by step solution

01

Step 1- Consider the equation.

Consider the system of equation

2x+y=5(1)4x+y=9(2)

02

Step 2- Step description.

Multiply the equation (1) by 2 such that 4x+2y=10. (3)

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

4x+2y鈭�(4x+y)=10鈭�94x+2y鈭�4x鈭�y=1y=1

03

Step 3- Step description.

Substitute the value of y in equation (1).

2x+y=52x+1=52x=4x=2

Therefore, the solution is x=2,y=1.

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