Question

solve x+y=5 ; x-y=1
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Answer 1

Answer:

hope it help you

Step-by-step explanation:

x+y=5 changed to x=5-y

Also, x-y=1 changed to x=1+y

It just moves to right side, so you have to change the symbol in opposite before which number or something you moved.

After that, you can find x=5-y, x=1+y

Now, you can put them together.

It looks like this: 5-y= 1+y ; 5–1=y+y; 4=2y; y=2

Answer 2

Given:

↬x+y equals 5

↬x-y equals 1

To Find:

x and y

Solution:

method used:

$\sf {\orange{ \underbrace{elimination \: method : }}}$

$\rm : ⟹ x {+ y }- x { - y} = 5 + 1 \\ \\ \rm : ⟹x \cancel {+ y }- x \cancel{ - y} =6 \: \: \: \: \: \: \: \: \: \\ \\ \rm : ⟹2x = 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \rm : ⟹x = \cancel \frac{6}{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \rm : ⟹x = 3\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

as x equals 3 let's embed the value of 3 in the place of x abd find y

$: ⟹  \sf \: 3 + y = 5 \\ : ⟹  \sf \: y = 2 \: \: \: \: \: \:$

$\blue{ \underline{ \boxed{ \green{ \mathfrak{ \therefore \: the \: value \: of \: x = 3 and \: y = 2 }}}}}$

hope this helps.!!