Question

Solve: 2x + y = 13; 2x - 3y = 9
100​

Answer 1

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✪QUESTION✪:-

Solve: 2x + y = 13; 2x - 3y = 9

✪ANSWER✪:-

by using elimination method ,

(1) ➜ 2x + y = 13

(2)➜2x - 3y = 9 ( change the sign)

________

➠4y = 4

➠y = 4/4

➠$\boxed{\sf{ y= 1 }}$

sub/: y=1 in (1) ,

➠2x + y = 13

➠2x + 1 = 13

➠2x = 13 -1

➠2x = 12

➠x = 12/2

➠$\boxed{\sf{ x=6 }}$

therefore ,

• x=6
• y=1

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ABOUT ELIMINATION METHOD :

• This method is used for the linear equations of two variables in which we will add or subtract the two equations to get an equation with single variable which helps us to find the value of any one variable of two .

• then we can easily find the value of another variable by substituting the value of known variable in any one of the equation .

• thus ,this method is very useful to get the values of variables but for some problems this methods can't be applied .

• For that we can use, QUADRATIC FORMULA METHOD and COMPLETING THE SQUARE METHOD .