Answer:
(9,4)
Step-by-step explanation:
The given system is:
9x + 3y = 93
3x - 4y = 11
Multiply the bottom equation by 3 to get:
9x + 3y = 93
9x - 12y = 33
Subtract bottom equation from top one to get:
3y--12y=93-33
[tex]15y = 60[/tex]
[tex]y = \frac{60}{15} [/tex]
[tex]y = 4[/tex]
We put y-value into the bottom equation:
[tex]3x - 4 \times4= 11[/tex]
[tex]3x - 16= 11[/tex]
[tex]3x = 11 + 15[/tex]
[tex]3x = 27[/tex]
[tex]x = \frac{27}{3} [/tex]
[tex]x = 9[/tex]
