X+y=90, x-y=32. What is x?

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Answer 1 · 2018-03-12T01:13:26

The equations are

$x + y = 90$ $x+y=90$
$x - y = 32$ $x-y=32$

Use elimination:
Add the equations together:

$2 x = 122$ $2x=122$

$x = 61$ $x=61$

Substitute $61$ $61$ back in the equation:

$61 + y = 90$ $61+y=90$

$y = 29$ $y=29$

The answer is $(61, 29)$ $(61,29)$