Math, asked by camebpeters, 1 month ago

x + 5y = 28 2x + 3y = 21 Solve for x and y

Answers

Answered by Anonymous
121

\huge\boxed{\fcolorbox{red}{blue}{ QUESTION }}

x + 5y = 28

2x + 3y = 21

Solve for x and y

 \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}

(x + 5y = 28).... \times 2 \\  \\ 2x + 3y = 21 \\  \\ 2x + 10y = 56 \\  \\ sub...both \: eq.. \\  \\  - 7y =  - 35 \\ 7y = 35 \\ y = 5  \:  \: \:  \: ans \:  \:  \\  \\ put \: y \: in \: eq \:( 1) \\  \\ x + 5y = 28 \\ x + 5(5) = 28 \\ x + 25 = 28 \\ x = 3 \:  \:  \:  \: ans \:

Answered by TheMist
131

\huge\sf \color{magenta}\underline{\underline{Answer }}:

 \large\sf \boxed{\sf \colorbox{lightgreen}{y=5}} \ \ \ \   AND  \ \ \ \  \sf  \boxed{\sf \colorbox{lightgreen}{x=3}}

 \\ \huge\sf \color{magenta}\underline{\underline{Solution }}:

 \large\sf \color{red}{Given \: Equations : } \\ \sf ● x+5y=28....(i) \\ \sf ●2x + 3y = 21....(ii) \\ \\

\large\sf \color{red}{To \: Find : } \\ \sf Value \ of \ x \ and \ Y

 \sf x+5y=28....(i)  \\ \sf » x = 28-5y

 \colorbox{skyblue}{Put \  x \ in (ii) }

    \sf 2x + 3y = 21....(ii) \\    ➩ \   \sf  2(28-5y) + 3y = 21 \\  \   ➩ \ \sf 56-10y+3y = 21 \\ ➩ \ \sf 56-7y= 21 \\  ➩ \ \sf -7y=-35  \\  \ \sf \boxed{\sf \colorbox{lightgreen}{y=5}}

 \colorbox{skyblue}{Put \ the \ value \ of  \  y \ in (i) }

    \sf x+5y=28....(i)  \\  ➩ \  \sf x+5(5)=28 \\  ➩ \ \sf x +25=28 \\ \sf  \boxed{\sf \colorbox{lightgreen}{x=3}}

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