Hey there! I'm happy to help!
Let's represent the total number of marbles with the variable t. We have the following information.
1/2t+1/6t+8=t (1/2 of total are red, 1/6 of total are blue, 8 are white, add them up to get total)
Now, we solve for t.
1/2t+1/6t+8=t
We combine like terms.
2/3t+8=t
We subtract t from both sides.
-1/3t+8=0
We subtract 8 from both sides.
-1/3t=-8
We divide both sides by -1/3.
t=24
Therefore, there ae 24 total marbles in the bag.
Have a wonderful day! :D
Answer: the system has no solution
Step-by-step explanation: for a solution to occur the lines have to cross
Answer:
(x+3)=-6
x=-6-3
x=-9
Step-by-step explanation:
Hope it helps!
When side changes positive changes into negative.
Equations:
100 + 35m
50 + 35m
Steps:
100 + 35m = 50 + 35m <span>
<em>Set the equations equal to each other.</em>
</span> <span />
<span>
100 + 35m = 50 + 35m <span>
-50 - 50
</span>
<em>Subtract 50 from both sides of equation to isolate the variable on one side</em>.
50+35m=35m
-35m -35m
<em>Subtract 35m from both sides of equation.</em>
50=m
In fifty months, they will have the same amount of money. They will each contain $1850 dollars.
Hope this helps.
</span>
Step-by-step explanation:
1)The given equations are:
x − 2y = 6 ...(i)
3x − 6y = 0 ...(ii)
Putting x = 0 in equation (i) we get
=> 0 - 2y = 6
=> y = -3
x = 0, y = -3
Putting y = 0 in equation (i) we get
⇒x-2×0=6
⇒x=6
x = 6, y = 0
Use the following table to draw the graph
x 0 6
y -3 0
Plotting the two points A(0, -3) and B(6,0) equaion (1) can be drawn
Graph of the equation ..(ii)
3x - 6y = 0 ...(ii)
Putting x = 0 in equation (ii) we get
⇒3×0-6y=0
=> y = 0
x = 0, y = 0
Putting x = 2 in equation (2) we get
⇒3×2-6y=0
=> y = 1
x = 2, y = 1
Use the following table to draw the graph.
x 0 2
y 0 1
Draw the graph by plotting the two points O(0,0) and D(2,1) from table
We see that the two lines are parallel, so they won’t intersect
Hence there is no solution
2)
