Math, asked by aptdentalbalaji, 8 months ago

If x = a, y = b is the solution of the equations x + y = 5 and 2x – 3y = 4, then the values of a and b are respectively (a) 6, -1 (b) 2, 3 (c) 1, 4 (d) 19/5, 6/5

Answers

Answered by Yashicaruthvik
7

Answer:(d) 19/5, 6/5

=a and y=b is the solution of the equations x+y=5 and 2x-3y=4

To find:

The value of a and b

solution:

x=a and y=b is the solution of the equations x+y=5 and 2x-3y=4}x=a and y=b is the solution of

Step-by-step explanation:

Answered by jaswasri2006
18

given  \:  \\  \\ x \:  =  \: a \: and \:  \: b \:  =  \: y \: and \:  \\ x \:  +  \: y \:  =  \: 5... (1) \\  \\ 2x  -  \: 3y \:  =  \: \: 4  \: ...(2)\:  \\  \\  \\ then \: substitute \: value \: of  \: a \: and \: b \: \:  \: in \: eq \: (1) \:  \: then \: we \: get \: a \:  +  \: b \:  = 5 \: ....(3) \:  \\  \\  \: and \: substitute \: the \: value \: of \: a \: and \: b \: we \: get \:  \: 2a \:  -  \: 3b \:  =  \: 4 \: ....(4) \:  \\  \\ from \: eq \: 3 \: a \:  =  \: 5 - b .....(5) \\  \\ now \: substitute \: eq \: 5 \: in \: eq \: 4 \:  \: we \: get \:  \: 2(5 - b) \:  \:  - 3b \:  \:  = 4 \:  \:  \:  \\  \\ 10 - \:  2b \:  - 3b \:  \:  =  \: 4 \:  \\  \\  - 5b \:  =  \:  \:  - 6 \:  \: b \:  =  \:  \frac{6}{5}  \:  \: now \: substitute \: value \: of \: b \: in \: eq5 \: we \: get \: a \:  =  \:  \:  \frac{25}{6} \\  \\  \\  \\ . \\  \\ hence \: the \: value \: of \: b \:  =  \:  \:  \frac{6}{5}  \: and \: \\  \\  a \:  \:  =  \:  \frac{25}{6}  \\  \\  \\ hope \: this \: will \: help \: u \:  \\  \\  \\  \\ mark \: as \:  \: brainliest \: answer \: please \:  \: my \:  \: friend \:

Similar questions