Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

show all work for credit. 2. $x + y = 5$ $x = y + 7$

Question

show all work for credit.
2.
$x + y = 5$
$x = y + 7$

Explanation:

Step1: Substitute $x$ into first equation

Substitute $x = y + 7$ into $x + y = 5$:
$(y + 7) + y = 5$

Step2: Simplify and solve for $y$

Combine like terms and isolate $y$:
$2y + 7 = 5$
$2y = 5 - 7$
$2y = -2$
$y = \frac{-2}{2} = -1$

Step3: Substitute $y$ to find $x$

Plug $y = -1$ into $x = y + 7$:
$x = -1 + 7 = 6$

Answer:

$x=6$, $y=-1$