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.
3(2x)=4x+4
do the bracket first
(3)(2x)= 6x
6x= 4x+4
move 4x to the other side
sign changes from +4x to -4x
6x-4x=4x-4x+4
6x-4x= 4
2x= 4
divide by 2
2x/2=4/2
x=2
Answer: x= 2
Answer:
B
Step-by-step explanation:
The equations are:
2x + y - 7 = 0
and
1/3x + y -4 = 0
Let's rearrange the first to get:
y = -2x + 7
Putting this into the 2nd equation we get:
Now, y would be:
Solving the equation we see that there is 1 unique solution with 1 x value and another y values. That means, when graphing, the lines would intersect.
Answer choice B is right.
<u>Note:</u> Coincident means the same line and parallel means there would be no solution when solving
