Answer:
[tex]x=-14,y=-27[/tex]
Step-by-step explanation:
Given equations:
[tex]y=3x+15[/tex]
[tex]4x-3y=25[/tex]
We can substitute the first equation into the second:
[tex]4x-3y=25[/tex] (given)
[tex]4x-3(3x+15)=25[/tex] (replaced [tex]y[/tex] for [tex]3x+15[/tex])
[tex]4x-9x-45=25[/tex]
[tex]-5x=70[/tex]
[tex]x=-14[/tex]
We can solve for [tex]y[/tex] by using substitution:
[tex]y=3x+15[/tex] (given)
[tex]=3(-14)+15[/tex]
[tex]=-27[/tex]
∴ [tex]x=-14,y=-27[/tex]
Hope this helps :)
