Find the solution of the following system of equations -5+2y=9 3x+5y=7

Mathematics

1 answer:

Rudiy273 years ago

5 0

Answer:

$x=-\frac{28}{3}\\\\y=7$

Step-by-step explanation:

Given the system of equations:

$\left \{ {{-5+2y=9} \atop {3x+5y=7}} \right.$

You can pply Substitution method:

First you must solve for "y" from the first equation:

$-5+2y=9\\\\2y=9+5\\\\2y=14\\\\y=\frac{14}{2}\\\\y=7$

Therefore, the second and final step to solve the system of equations is to substitute the value of "y" into the second equation and solve for "x":

$3x+5(7)=7\\3x=7-35\\\\x=-\frac{28}{3}$

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