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:
(x, y) = (13, 72/7)
Step-by-step explanation:
Write as a system
x = 6 + y - 5x + 6y = 13
Substitute the value of x into the equation
6 + y - 5 * 13 + 6y = 13
A possible solution is
y = 72/7
Check the Equation
(x, y) = (13, 72/7)
Simplify the Expression
13 = 6 + 72/7 - 5 * 13 + 6 * 72/7 = 13
The ordered pair is a solution
13 = 13 = 13
To solve for n you have to get n on one side of the equation by itself.
n-6m=8
take -6m and add to both sides. so the side that has n evens out to 0. then you have
n=6m+8
it is this way because you can only add like terms. This should be all you need to do.
Hope this helps
Answer:
1/36
Step-by-step explanation:
The only way of getting a total of 11 is rolling a 5 and a 6.
On each dice that is a 1/6 possibility
Multiply both possibilities to get 1/36.
Answer: Yes
Step-by-step explanation:
Though x and y can be achieved in a system of equations. The equation
x (t)=0.0411905(t^2)+(-0.164619)t+28.0114
And
y (t)=-0.024127(t^2)+(-0.591143)t+(-87.4403)
Are not system of equations but rather two different models of equations. Nevertheless
To find t in the first equation, x(t) has to be equal to zero.
When the t is substituted in the second equation, t will completely disappear. Given the value of y(t) and vice versa.
