Solve the following simultaneous equations
a) 49x - 57y = 172; 57x - 49y = 252 (elimination method)
b) 3x + 2y = 29; 5 - y = 18 (substitution method)
c) 3x - y = 2; 2x - y = 3 (graphically)
d) y + 2x - 19 = 0; 2x - 3y + 3 = 0 (cramer's rule)
Give a proper answer please.
Answers
a) given in the picture
b) Solution : 3x + 2y = 29... (1)
and sx - y = 18 ...
Let's solve the equations by eliminating 'y'.
Fill suitably the boxes below Multiplying equation (II) by 2. ...
5x x y x 10x 2y (III) Let's add equations (1) and (III) 3x + 2y = 18 x ... = 29 + .. x = ... 3 x 2y Substituting x = 5 in equation (1) 3x + 2y = 29 + 2y = 29 + 2y = 29 2y = 29 .. y = O (x, y): is the solution. Ex. (3) Solve : 15x + 17y = 21; 17x + 15y = 11 Solution : 15x + 17y = 21... (1) 17x + 15y = 11 ... (II) In the two equations above, the coefficients of x and While solving such equations we get two simple subtracting the given equations. After solving th the solution. Let's add the two given av 15x + 17y = 21 + 17x + 15
c) Answer of no.c is in the picture.
d) Answer of no.d is also in the picture.
These three answers are given in the picture
Refer this attachments
Hope it's help you
