Mathematics Part - I
Textbook solutions: Linear Equations in Two varibles: Practice Set 1.1
1.

Complete the following activity to solve the simultaneous equation.

5x + 3y = 9 ................(I)

2x - 3y = 12 ................(II)

Let's add equation (I) & (II)


5x+3y=9+2x3y=12lonx=21\dfrac{\begin{aligned} 5x + 3y &= 9 \\ \mathop{+}\mkern40mu 2x - 3y &= 12 \mkern60mu \end{aligned}}{\fbox{\phantom{lon}}x = 21}


x = longlong\frac{\fbox{\phantom{long}}}{\fbox{\phantom{long}}}


x = long\fbox{\phantom{long}}


place x = 3 in equation (I)

5 x long\fbox{\phantom{long}} + 3y = 9


3y = 9 - long\fbox{\phantom{long}}


3y = long\fbox{\phantom{long}}


y = -63\dfrac{\fbox{-6}}{3}


Y = long\fbox{\phantom{long}}

∴ Solution is (x,y) = ( long\fbox{\phantom{long}} , long\fbox{\phantom{long}} )

2.

Solve the following simultaneous equation.

1.

(1) 3a + 5b = 26 ; a + 5b = 22

2.

x + 7y = 10 ; 3x - 2y = 7

3.

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

4.

5m3n=195m - 3n = 19 ; m6n=7m - 6n = -7

5.

5x+2y=35x + 2y = -3  ; x+5y=4x + 5y = 4

6.

13\dfrac{1}{3} x + y = 103\dfrac{10}{3} ; 2x+142x + \dfrac{1}{4} y = 114\dfrac{11}{4}

7.

99x+101y=49999x + 101y = 499 ; 101x+99y=501101x + 99y = 501 

8.

49x + 51y = 172 ; 57x - 49y = 252