Answer to Question #96668 in Algebra for cynthia

Question

y=5x+7,y- x=15

Answer 1

$\begin{cases} y=5x+7 \\ y-x=15 \end{cases}$

Express $y$ in terms of $x$ using the first equation and substitute for $y$ into the second equation to find values of $x$

and we have:

$5x+7-x=15\\ 5x-x=15-7\\ 4x=8\\ x=2$

after that we substitute the computed value of $x$ into the first equation to find the value of $y$

$y=5*2+7\\ y=17$

Answer: $x=2$ ; $y=17$