Answer: [tex](-7,7)[/tex]
Step-by-step explanation:
Given the following system of equations:
[tex]\left \{ {{4x+9y=35} \atop {-4x+y=35}} \right.[/tex]
You can solve it using the Elimination Method:
1. Add the equations and solve for "y". Then:
[tex]\left \{ {{4x+9y=35} \atop {-4x+y=35}} \right.\\...................\\10x=70\\\\x=\frac{70}{10}\\\\x=7[/tex]
2. Substitute the value of "y" into any original equation and solve for "x" in order to find its value:
[tex]4x+9(7)=35\\\\4x=35-63\\\\x=\frac{-28}{4}\\\\x=-7[/tex]
Therefore, the solution is:
[tex](-7,7)[/tex]
