Solve system by substitution

-X-5y=-7

Y=5x-9

Ok so to solve this problem by substitution method we first need to find are chunk, in this case are chunk is already found for us and it is y = (5x-9) so now we input this into are other equation like so,

-x-5 (5x-9) = - 7

Distribute

-x-25x+45=-7

Add (subtract) like terms

-26x+45=-7

Subtract 45 from each side

-26x=-52

Divide each side by - 26

x=2

So now we can solve for y by imputing x into are y=chunk equation like so

y = ((5*2) - 9)

Solve by solving for the parentheses first

y = (10-9)

Solve once more for the parentheses

y=1

So are end answer is x=2 and y=1

Enjoy!=)