Question 878186
Substitution might be more comfortable.

{{{4x+9y=10}}}
{{{4x=10-9y}}}
{{{x=(10-9y)/4}}}
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{{{5x+8y=19}}}
{{{5(10-9y)/4+8y=19}}}
{{{5(10-9y)+32y=76}}}
{{{50-45y+32y=76}}}
{{{-45y+32y=26}}}
{{{-13y=26}}}
{{{highlight(y=-2)}}}
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{{{highlight(x=(10-9(-2))/4)}}}, when done, find x=4.5