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Travka [436]
2 years ago
11

Solve the following....

5y=-23" alt="5x+3y=7\\3x-5y=-23" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
AlekseyPX2 years ago
8 0

\qquad\qquad\huge\underline{{\sf Answer}}

let's solve ~

The given equations are :

\qquad \tt \dashrightarrow \:5x + 3y = 7 \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \: \:  - (1)

and

\qquad \tt \dashrightarrow \:3x - 5y = -  23 \:    \:  \:  \:  \: \:  - (2)

Now, let's multiply equation (1) by 5 and equation (2) by 3 ~

we will get the results as :

\qquad \tt \dashrightarrow \:25x + 15y = 35 \:  \:  \:  \:  - (3)

\qquad \tt \dashrightarrow \:9x - 15y  = - 69 \:  \:  \:  - (4)

Now, add equation (3) and (4) :

\qquad \tt \dashrightarrow \:25x + \cancel{ 15y} + 9x -  \cancel{15y }= 35 + ( - 69)

\qquad \tt \dashrightarrow \:34x =  - 34

\qquad \tt \dashrightarrow \:x =  - 1

Now, since we got the value of x, let's evaluate y~ by using equation (1) :

\qquad \tt \dashrightarrow \:5x + 3y = 7

\qquad \tt \dashrightarrow \:5( - 1)+ 3y = 7

\qquad \tt \dashrightarrow \:3y - 5 = 7

\qquad \tt \dashrightarrow \:3y = 12

\qquad \tt \dashrightarrow \:y = 4

Hence, value of y is 4

I hope you understood the whole procedure ~

brilliants [131]2 years ago
4 0

<em>Hello ~</em>

<em />

My name is Irxdscent, and I will be answering your question today! :D

\sf{5x \: + \: 3y = 7}

<h2>⇢ <u>Explanation :-</u></h2>

<u />

  • Subtract \bold{\underline{3y}} from both sides.

        \bold{5x \: + \: 3y \: - \: 3y = 7 \: - \: 3y}

  • Simplify

        \bold{5x = 7 \: - \: 3y}

  • Divide both sides \bold{\underline{5}}

        \bold{\frac{5x}{5} = \frac{7}{5} \: - \:\frac{3y}{5}}

  • Simplify

        \bold{x =\frac{7 \: - \: 3y}{5}}

\sf{3x \: - \: 5y = -23}

<h2>⇢  <u>Explanation :-</u></h2>

<u />

  • Add \bold{\underline{5y}} to both sides.

        \bold{3x \: - \: 5y \: + \: 5y = -23 \: + \: 5y}

  • Simplify

        \sf{3x = -23 \: + \: 5y}

  • Divide both sides by \bold{\underline{3}}

        \bold{\frac{3x}{3} = -\frac{23}{3} \: + \: \frac{5y}{3}}

  • Simplify:

        \bold{x = \frac{-23 \: + \: 5y}{3}}

Hope It Helps! ~

<em>~ Learn With Lrxdscent ~</em>

<em />

<em />\underline{Answer :}

ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ

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