Math, asked by sanjuashmita, 10 months ago

3x + 4y=22 2x +6y=23. (From simultaneous equations)

Answers

Answered by beGoodboy
18

Heye

your answer

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\boxed {answer}

3x + 4y = 22 -  - 1 \times 2 \\ 2x + 6y = 23 -  -  2 \times 3 \\  \\  \color{red}{on \: solving} \:  1 \: and \: 2 \\  \\ 6x + 8y = 44 \\ 6x + 18y = 69 \\  -  -  -  -  -  -  -   \\ ( - )( - )( - ) \\   \:  \:  \:  \:  \: 10y  =  + 25 \\  \:  \:  \:  \:  \:  \: y =  \frac{25}{10}   \\  \\ y =  \frac{5}{2}  \\  \\  \color{red}{from \: 1} \\  \\  = 3x + 4 \times  \frac{5}{2}  = 22 \\  \\  = 3x + 10 = 22 \\ 3x = 22 - 10 \\  = 3x = 12 \\ x =  \frac{12}{3}  \\  \\ x = 4 \\  \\  \color{red}{is \: your \: answer}

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Answered by anushkasharma8840
6

Step-by-step explanation:

Solve equation [2] for the variable y

[2] 4y = -3x + 22

[2] y = -3x/4 + 11/2

// Plug this in for variable y in equation [1]

[1] 2x + 6•(-3x/4+11/2) = 23

[1] -5x/2 = -10

[1] -5x = -20

// Solve equation [1] for the variable x

[1] 5x = 20

[1] x = 4

// By now we know this much :

x = 4

y = -3x/4+11/2

// Use the x value to solve for y

y = -(3/4)(4)+11/2 = 5/2

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