Answer: [tex]x=4\\y=3[/tex]
Step-by-step explanation:
[tex]y=4x-13\\2x+3y=17[/tex]
Since our ''y'' is already isolated, you can simply plug ''y'' information into the second equation.
[tex]2x+3y=17\\2x+3(4x-13)=17\\2x+12x-39=17\\14x=17+39\\14x=56\\x=\frac{56}{14} \\x=4[/tex]
Now we can use the first equation and replace ''x'' to find ''y''
[tex]y=4x-13\\y=4(4)-13\\y=16-13\\y=3[/tex]
To prove that your values are correct, take any of the equations and replace their values.
[tex]y=4x-13\\3=4(4)-13\\3=16-13\\3=3[/tex]
