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

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Answer 1 · 2015-03-29T06:39:14

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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How many solutions does the system of equations 4x-y=104x-y=10 and 3x+5y=193x+5y=19 have?