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! :)
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leah is that you ?????
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Yes, they are all per something so yes
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