An algebra problem by raiyan siddiqui

$x+y+c=25$ ............[1]

$x-y-c=51$ ..............[2]

adding these 2 equations we get,

$x+y+z+x-y-z$ = $25+51$

or, $2x=76$

or, $x=38$

From $x + y + c = 25$ we can evaluate $x$ : $x = 25 - y - c$

From $x - y - c = 51$ we can evaluate $- y - c$ : $- y - c = 51 - x$

Then, we can put $- y - c$ into the first equation to get $x$ !

$x = 25 + 51 - x$

$2x = 76$

$x = \boxed{38}$

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Another way to solve this problem is to add up together two equations:

$(x + y + z) + (x - y -z) = 25 + 51$

$2x = 76$

$\boxed{38}$

Add the equations to get $2x = 76\\ x = \color{#69047E}{\boxed{38}}$ .

x+y+c=25 x-y-c=51 2x=76 x=38