Question

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

Answer 1

`x=-(28)/(3)\\\\y=7`

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=(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=-(28)/(3)`