Given:
The system of equations is
To find:
The missing value for which the given system of equations have infinitely many solutions.
Solution:
Let the missing value be k.
We have,
Taking all the terms on the left side, the given equations can be rewritten as
The system of equations 
and 
have infinitely many solutions if
We have,
Now,
On cross multiplication, we get
Therefore, the missing value is -10.
Answer:
ayo so um... i have the same test and uh im taking it rn and i was wonderering if u could give me the answer
Step-by-step explanati
30 because 18 and the plain goes into 12 which is 30
I think
Answer:
22.5 quarts
Step-by-step explanation:
Let us find the ratio of orange juice to apple juice. The punch requires 2 quarts of orange juice mixed with 5 quarts of apple juice.
The ratio of orange juice to apple juice is therefore:
2 : 5 or 2/5
Max has 9 quarts of orange juice. By comparing with the ratio, this implies that:
2 / 5 = 9 / x
x = (9 * 5) / 2 = 22.5 quarts
He will need 22.5 quarts of apple juice.
