When solving for a variable, you get the variable you're trying to solve for on one side and everything to the opposite of that variable.
We have the equation <span>5w + 9z = 2z + 3w.
Usually the variable we're solving for we want on the left. But it's fine to have it on the right side, too.
Let's subtract 9z from the left-hand side. That way, the 5w will be alone on the left-hand side.
And remember, anything we do on one side we do to the other side.
</span><span>5w + 9z - 9z = 2z + 3w - 9z
</span><span>5w = -7z + 3w
The 3w term on the right-hand side needs to be removed. So, subtract each side by 3w.
5w - 3w = -7z + 3w - 3w
2w = -7z
Now, we need to divide each side by 2 to see what the w variable is equal to.
2w / 2 = -7z / 2
w = -7z / 2 or w = -3.5z
So, w is equal to -3.5z.
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Answer:
C
Step-by-step explanation:
The angle is total is 138 degrees. Part of the entire angle is already given (the 88 degree measure), so all you have to do is subtract 88 from 138, which is 50.
Answer:
Step-by-step explanation:
d = distance from hive to flowers, in feet
flying time = 23 min - 18 min = 5 min = 300 sec
time flying to flowers = d ft × (1 sec)/(10 ft) = (d/10) sec
time flying to hive = d ft × (1 sec)/(6 ft) = (d/6) sec
d/10 + d/6 = 300 sec
:::::
d/10 + d/6 = 3d/30 +5d/30 = 8d/30 = 300
d = 300×30/8 = 1,125 ft
An equation that doesn't have a solution would have to end up as something impossible when you solve it all out, like
5=3.
When you simplify your equation out, you get
3x-4=3x+?
Subtract 3x from both sides.
-4=?
From this, you can tell that you need to out something in the ? that will make the equation false, or something that doesn't equal -4.
You could put anything in the ? as long as it is not -4.
Hope this helps!
Answer:
Step-by-step explanation:
The easiest way to understand the answer is to consider two straight lines.
y = 3x + 6
and 2y = 6x + 12
When you graph these two lines, one will be on top of the other. That will give you an infinite number of solutions.
The answer does not depend on the two equations being straight lines. All that is required is that one graph sits on the other. So you could have a pair of quadratics
y = x^2 + 3x + 10
2y = 2x^2 + 6x + 20
would also give you an infinite number of solutions.
