Answer:
x = students
y = adults
Linear Systems of Equations :
x + y = 937
0.75x + 2y = 1,109
Step-by-step explanation:
Step 1 : eliminate one of the variables
x + y = 937
0.75x + 2y = 1,109
-2(x + y = 937) = -2x - 2y = -1874
-2x - 2y = -1874
0.75x + 2y = 1109
We can eliminate y since -2y + 2y = 0
Step 2: Find x number of students.
-2x = -1874
+0.75x = 1109
____________
-1.25x = -765
____________ = 612 students attended
-1.25
937 - 612 = 325 adults
Check Answer :
612 x 0.75 = $459
325 x 2 = $650
$650 + $459 = $1,109
Therefore, there will be 612 students attending and 325 adults.
Answer:
13 8/9
Step-by-step explanation:
25*(5/9) is equal to (25*5)/9
25*5 = 125 and 9 goes into 125 13 times with a remainder of 8
The solution would be:
13 8/9
Ax + b = 3x -3a
Ax- 3x = -(3a+b)
x(A-3) = - (3a+b)
x = - (3a+b) / (A-3)
There are 13 green marbles in the bag.
Step-by-step explanation:
Total marbles = 18
Let,
Green marbles = x
Blue marbles = y
According to given statement;
The number of green marbles is 2 less than 3 times the number of blue marbles.
x = 3y-2 Eqn 1
x+y=18 Eqn 2
Putting value of x from Eqn 1 in Eqn 2;

Dividing both sides by 4

Putting y=5 in Eqn 1

There are 13 green marbles in the bag.
Keywords: linear equation, substitution method
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