# How many solutions does the system of equations 4x-y=10 and 3x+5y=19 have?

Mar 29, 2015

Two Solutions. One solution for each variable.

This is because the equations are linear.

And linear solutions have only one solution for each variable.

Total makes $2$ .

Hint: The highest power of a variable in an equation give you the number of solutions for that particular variable!

EXAMPLE:
How many solutions does this equation have? ${y}^{2} + {x}^{2} = {x}^{3}$
$x + y = 5$

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