Solve the system of linear equations by elimination method

2/3x+3/4y=1/12;3x/4-2/3y=-1/2

Asked by jayprakash240770 | 11th Jun, 2021, 10:36: PM

Expert Answer:

To solve the given linear equations
2 over 3 straight x plus 3 over 4 straight y equals 1 over 12 space
rightwards double arrow 8 straight x plus 9 straight y equals 1 space space space... space open parentheses straight i close parentheses
3 over 4 straight x minus 2 over 3 straight y equals negative 1 half
rightwards double arrow 9 straight x minus 8 straight y equals negative 6 space space... space left parenthesis ii right parenthesis
Multiplying space left parenthesis straight i right parenthesis space by space 8 space and space left parenthesis ii right parenthesis space by space 9 comma space we space get
64 straight x plus 72 straight y equals 8 space space space... space left parenthesis iii right parenthesis
81 straight x minus 72 straight y equals negative 54 space space... space left parenthesis iv right parenthesis
Adding space the space two space equations space we space get
145 straight x equals negative 46
straight x equals negative 46 over 145

Answered by Renu Varma | 15th Jun, 2021, 11:22: AM