X= # of birds
y= # of cats
EQUATION 1:
x + y= 52
EQUATION 2:
birds= 2 legs
cats= 4 legs
2x + 4y= 138
STEP 1:
Solve for one variable in equation 1
x + y= 52
subtract y from both sides
x= 52 - y
STEP 2:
substitute x value in equation 2
2x + 4y= 138
2(52 - y) + 4y= 138
104 - 2y + 4y= 138
104 + 2y= 138
subtract 104 from both sides
2y= 34
divide both sides by 2
y= 17 cats
STEP 3:
substitute y value in either equation
x + y= 52
x + 17= 52
subtract 17 from both sides
x= 35 birds
CHECK:
2x + 4y= 138
2(35) + 4(17)= 138
70 + 68= 138
138= 138
ANSWER: There are 17 cats and 35 birds
Hope this helps! :)
Answer:
The answer to your question is:
12) C
13) AT = 29
Step-by-step explanation:
12)
Data
A (6, -3)
B (-6, 19)
midx = (x1 + x2) / 2 midy = (y1 ´y2) / 2
midx = ( 6 - 6) / 2 midy = (-3 + 19) / 2
midx = 0 / 2 midy = 16 / 2
midx = 0 midy = 8
mid point = (0, 8)
13)
As A is the midpoint of CT then CA = AT
2x - 19 = x + 5
2x - x = 19 + 5
x = 24
AT = 24 + 5
AT = 29
8. Is the answer! Hope this helps
