Answer:
x = 1.27
y = 5.18
Step-by-step explanation:
to solve this system of equation by simultaneous equation we say that let
3x+y=9.............................. equation 1
-5x+2y=4 .......................... equation 2
from equation 1
3x+y=9.............................. equation 1
y = 9 -3x.............................. equation 3
substitute the value of y = 9 -3x into equation 2
-5x+2y=4 .......................... equation 2
-5x + 2( 9 -3x) = 4
-5x + 18 - 6x = 4
collect the like terms
18 - 4 = 6x + 5x
14 = 11x
divide both side by 11
14/11 = 11x/11
x = 14/11
x = 1.27
put the value of x = 1.27 into equation 3
y = 9 -3x.............................. equation 3
y = 9 - 3( 1.27)
y = 9 - 3.82
y = 5.18
<em>to check if you are correct put the value of x and y into either equation 1 or equation 2.</em>
<em>3x+y=9.............................. equation 1</em>
<em>3( 1.27) + 5.18 = 9</em>
<em>3.81 + 5.18 = 9</em>
<em>9 = 9</em>
Answer:
x = 4
Step-by-step explanation:
Hope this helps! Consider Brainiest! <3
The number of ants in his farm after 12 weeks is 218.
Step-by-step explanation:
Step 1:
It is given that there are 15 ants initially and the ant population increases by 25% each week.
This is an exponential rate of increase that can be modeled by the following equation:
Number of ants after n weeks = Initial number of ants * 
Step 2:
Rate of increase = 25% = 25 / 100 = 0.25
Number of weeks = 12
Number of ants after 12 weeks = 15*
= 218.27 (rounded off to 218)
Step 3:
Answer:
The number of ants in his farm after 12 weeks is 218.