Question

if 2x+3y=10 and 3x+2y=15 find value of (X+Y)​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

$\huge \color {blue} \boxed{ \colorbox{black} { \sf{to \: find}}}$

☆ The value of (x+y)

$\huge \color {aqua} \boxed{ \colorbox{black} { \sf{given}}}$

☆2x+3y=10

☆3x+2y=15

$\huge \color {pink} \boxed{ \colorbox{black} { \sf{solution}}}$

☆ 3x + 2y =15 ....(i)

☆ 2x + 3y =10 ....(ii)

♡Adding equation (i) and (ii)

3x +2y =15

2x + 3y =10

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5x + 5y =25

♡Therefore,

$5(x + y) = 25 \\ = > (x + y) = \frac{25}{5} \\ = > (x + y) = 5$

♡Answer:

☆The value of (x+y)=5

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Extra information:

• (a+b)²=a²+b²+2ab
• (a-b)²=a²-2ab+b²
• a²-b²=(a+b)(a-b)

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hope it helps ....