How do you solve the system of equations $7 x + y = 184$ $7x + y = 184$ and $7 y + x = 88$ $7y + x = 88$ ?

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Answer 1 · 2018-03-19T13:20:23

$x = 25$ $x = 25$
$y = 9$ $y = 9$

Let's solve for one variable, first.

$7 x + y = 184$ $7x + y = 184$

$y = - 7 x + 184$ $y = -7x + 184$

Plug in $y$ $y$ to find $x$ $x$ .

$7 (- 7 x + 184) + x = 88$ $7(-7x + 184) + x = 88$

$- 49 x + 1288 + x = 88$ $-49x + 1288 + x = 88$

Combine like terms.

$- 48 x + 1288 = 88$ $-48x + 1288 = 88$

Simplify

$- 48 x = - 1200$ $-48x = -1200$

$x = 25$ $x = 25$

Solve for $y$ $y$ by plugging in $x$ $x$ .

$7 (25) + y = 184$ $7(25) + y = 184$

$175 + y = 184$ $175 + y = 184$

$y = 9$ $y = 9$

How do you solve the system of equations 7x + y = 1847x+y=1847x + y = 184 and 7y + x = 887y+x=887y + x = 88?