Respuesta :
SOLUTION
Step 1 :
In this question, we are told that there are 12 total peacocks and sheep on your arm.
The number of sheep is 3 more than twice the number of peacocks.
How many peacocks and sheep do you have on your farm?
Step 2 :
[tex]\begin{gathered} Let\text{ the peacock be x ,} \\ \text{Let the sh}eep\text{ be y.} \end{gathered}[/tex][tex]x\text{ + y = 12 ---- equ 1}[/tex][tex]\text{But y = 2x + 3 ---equ 2}[/tex][tex]\begin{gathered} p\text{ut y = 2 x + 3 in equ 1 , we have that:} \\ x\text{ + ( 2 x + 3 ) = 12 } \\ 3\text{ x + 3 = 12} \\ \text{collecting like terms, we have that:} \\ 3\text{ x = 12 - 3} \\ \text{3x = 9 } \\ \text{Divide both sides by 3 , we have that:} \\ x\text{ = }\frac{9}{3} \\ x\text{ = 3} \end{gathered}[/tex]a) How many peacocks do you have on your farm?
x = 3
b) How many sheep do you have on your farm?
[tex]\begin{gathered} \text{Recall that y= 2x + 3 } \\ \text{when x = 3,} \\ y\text{ = 2 ( 3 ) + 3 } \\ y\text{ = 6 + 3 } \\ \text{y = 9.} \end{gathered}[/tex]