SOLUTION: How do you solve this system of equations using substitution (not elimination): 5x - 9y = 11 and 3x + 7y = 19. Please show me the step-by-step solution, as I would appreciate this

Question 684766: How do you solve this system of equations using substitution (not elimination): 5x - 9y = 11 and 3x + 7y = 19. Please show me the step-by-step solution, as I would appreciate this very much. I tried doing this problem numerous times, but my solutions didn't make sense. I have a test soon, and I am worried I'll not be prepared.
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Solve one the equations for x or y, then substitute that equation into the other for that variable.
...
5x - 9y = 11
5x = 11 + 9y
x =
...
3x + 7y = 19 ==> substitution
3() + 7y = 19 ==> distriubte the 3
+ 7y = 19 ==> combine like terms

==> isolate the y variable

...

==> multiply both sides by
y = 1
...
Plug the y variable into the equation to solve for x
x =
...
x = 4, y = 1
(4, 1) is the solution
.....................
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