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elena-s [515]
3 years ago
9

Solve the following equation for d: D — =7 5

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
6 0

Answer: x = 35

Explanation: In this problem, notice that D is being divided by 5,

so to get D by itself, we need to multiply both sides of the equation by 5.

Notice that on the left side, the 5 and 5 cancel

each other out, so we are just left with D.

On the right side, we have (7)(5) which is 35.

So x = 35.

Finally, remember that we can check our answer

by plugging a 35 back into the original equation.

So we have \frac{(35)}{5} = 7.

Since this is a true statement, we know that our answer is correct, x = 35.

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pashok25 [27]
To answer this, set up a system of equations. What we know is that

5x + 2y = 100
And...
x+y=38

x represents the unknown number of 5 points questions
y represents the unknown number of 2 point questions

In my opinion the easiest way to solve this is to use substitution (that is when you find out the value of one variable, either x or y, and substitute that value as the variable).

So,

x+y=38

Subtract x from both sides

y=38-x

Now, plug (38-x) in as y in the other equation.

5x + 2(38-x) = 100
5x + 76-2x= 100
3x+76=100
3x=24
x=8

Now that you know that x=8, you can solve for y.

5x+2y=100
5(8)+2y=100
40+2y=100
2y=60
---- ------
2 2
y=30


X=8
Y=30

There are 8 five point questions on the test and 30 two point questions on the test

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