Answer:
Every student would have five markers.
Step-by-step explanation:
There would be 20 students, and 100 markers which is 20/100. You would reduce that fraction to 1/5. Therefore, every student would have 5 markers.
1)
3x-2y=14
y=5x
So we plug in y=5x into 3x-2y=14
We get:
3x-2(5x)=14
3x -10x=14
-7x=14
x=-2
So we found x, now we need to find y. We can simply plug in x into the equation and get y.
y=5x
y=5(-2)
y=-10
So your answer will be (-2,-10).
2)
x-2y= -2
y= 2x+4
Once again plug in y=2x+4 into x-2y=-2
x-2(2x+4) = -2
x-4x-8=-2
-3x-8=-2
-3x = 6
x= -2
Now we plug back in x and solve for y :)
y=2x+4
y=2(-2)+4
y=-4+4
y=0
So our solution would be (-2,0).
3)
x+2y=-7
x-5y=7
Multiply the second equation by -1
-x+5y=-7
Now add that equation with the other one:
x+2y=-7
+
-x+5y=-7
-----------------
7y=-14
y=-2
Now plug in y=-2 and solve for x
x+2y=-7
x+2(-2)=-7
x+(-4)=-7
x-4=-7
x=-3
So your solution would be (-3,-2).
Answer:
-2/8, -4/16, -8/24
Step-by-step explanation:
