Question 684766
Solve one the equations for x or y, then substitute that equation into the other for that variable.
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5x - 9y = 11
5x = 11 + 9y
x = {{{11/5 + (9/5)y}}}
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3x + 7y = 19 ==> substitution
3({{{11/5 + (9/5)y}}}) + 7y = 19  ==> distriubte the 3
{{{33/5 + (27/5)y}}} + 7y = 19  ==> combine like terms
{{{(33/5) + (27/5)y + 7(5/5)y = 19}}}
{{{(33/5) + (27/5)y + (35/5)y = 19}}}
{{{(33/5) + (62/5)y = 19}}}  ==> isolate the y variable
{{{(62/5)y = 19 - (33/5)}}}
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{{{(62/5)y = 19(5/5) - (33/5)}}}
{{{(62/5)y = 95/5 - 33/5}}}
{{{(62/5)y = 62/5}}}  ==> multiply both sides by {{{5/62}}}
y = 1
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Plug the y variable into the equation to solve for x
x = {{{11/5 + 9/5 = 20/5 = 4}}}
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x = 4, y = 1
(4, 1) is the solution
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