Answer:
x=4, y=1
Step-by-step explanation:
We can solve this set of equations using elimination.
Multiply the first equation by 3:
[tex]15x-6y=54[/tex]
Multiply the second equation by 5:
[tex]15x+15y=75[/tex]
Now we take [tex](15x+15y=75)\\ - \\(15x-6y=54)[/tex]
[tex]21y=21[/tex]
Therefore, [tex]y=1[/tex].
To solve for x, substitute y=1 into the second equation.
[tex]3x+3y=15[/tex]
[tex]3x+3(1)=15[/tex]
[tex]3x+3=15[/tex]
[tex]3x=12[/tex]
Hence, [tex]x=4[/tex].
