Paul has 70 Total sport cards.
3 (Baseball) + 3 (Football) + 4 (Baseball) = 10 (Total cards per pile) × 7 (Total Piles) = 70 (Total Cards
3+3+4=10×7=70
(All shown work is this ^)
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Answer: 2
Step-by-step explanation:
First you have to plug in the value for x which is -18 so then you're equation then get y by itself and solve for y. This becomes
-3(-18) -y = 56
54 - y = 56
-54 -54
Y=2
You can check your work by plugging in 18 for x and 2 for y and when you solve the equation your answer should equal 56.
Good evening ,
Answer:
The weight : 29 pound
Alan would pay for his dinner : $130
Step-by-step explanation:
Let x represent the weight of the lobster
the cost of the dinner at restaurant 1 is 4x + 14
the cost of the dinner at restaurant 2 is 3x + 43
Now ,we have to solve the equation : 4x + 14 = 3x + 43
4x + 14 = 3x + 43
⇔ x = 43 - 14
⇔ x = 29
In this case Alan would pay the same amount for his dinner at any restaurant:
the price = 4×(29)+14 = 130
= 3×(29)+43 = 130.
:)
Answer:
just follow the rules
Step-by-step explanation:
Cramer's rule applies to the case where the coefficient determinant is nonzero. ... A simple example where all determinants vanish (equal zero) but the system is still incompatible is the 3×3 system x+y+z=1, x+y+z=2, x+y+z=3.
Write the system as a matrix equation. ...
Create the inverse of the coefficient matrix out of the matrix equation. ...
Multiply the inverse of the coefficient matrix in the front on both sides of the equation. ...
Cancel the matrix on the left and multiply the matrices on the right.
Luckily for us, this problem solved the bulk of its own question!
Now, all we have to do is solve for "x", or the amount of fiction books and plug its value back into the original equation to find the value of "y", or the amount of nonfiction books.
2x = 38
x = 19
There are 19 fiction books.
x + y = 26
19 + y = 26
y = 7
There are 7 nonfiction books.
Hope this helps!