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MariettaO [177]
3 years ago
5

Solve the system of equations using the substitution method.

Mathematics
1 answer:
Karolina [17]3 years ago
3 0
Substitution is where we first Isolate one of the unknowns, express it in terms of the other unknown, and replace the isolated unknown with the other unknown in another equation. So that each time we only need to deal with one unknown. I think you'll get a better idea here:

First name these 2 equations with 1 and 2.
4x + 5y = 7 (1)
y = 3x + 9 (2)

Since y is already isolated in (2), so we can skip the isolation step and continue to substitute.

Substitute (2) into (1).
4x + 5(3x+9) = 7

Expand.
4x + 15x + 45 = 7

Group.
19x + 45 = 7

Shift +45 to the other side and turn it into -45.

19x = 7 - 45
19x = -38

Shift x19 to the other side, turn it into /19.
X = - 38/19
X = - 2

Now we solved x already, we can just substitute x= - 2 back to equation (2).

y = 3(-2) + 9
y = - 6 + 9
y = 3

So, the answers are
x = - 2
y = 3
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Number 8 pleaseee !!!
frutty [35]
-6/7 is less than -6.7
7 0
4 years ago
If there are 12 inches in a foot,how many cubic inches are there in a cubic foot
Dvinal [7]
1728 inches hope this helps!
6 0
3 years ago
Situation:
salantis [7]

Answer:

Step-by-step explanation:

I'm assuming you need the age of the bowl. Start with the fact that you have remaining 28% of the original amount before any of it decayed. You always start with 100% of something unless you're told differently. That means that the equation looks like this:

28=100e^{-.0001t} and begin by dividing both sides by 100 to get

.28=e^{-.0001t} . To solve for t we have to be able to bring it down from its current position of exponential. To do this we would either take the log or the natural log since the rules for both are the same. However, the natural log is the inverse of e, so they undo each other. We take the natural log of both sides which allows us to pull down the -.0001t. At the same time remember that the natural log and e are inverses of each other so they are both eliminated when we do this.

ln(.28) = -.0001t Now it's easy to solve for t.

\frac{ln(.28)}{-.0001}=t and

\frac{-1.272965676}{-.0001}=t so

t = 12729.65676 years or rounded, 12730 years.

6 0
3 years ago
PLEASE HELP IM SOOOO LOST ILL GIVE A BRAINLIEST TO THE BEST ANSWER THAT HAS ALL WORK SHOWN AND CORRECT ANSWERS AND MAKES SENSE.
Tanzania [10]
6(a+3) = 18 + 6a
Open the parenthesis and distribute
6a + 18 = 18 + 6a
Subtract both sides by 18
6a = 6a
Subtract both sides by 6a
0 = 0
Any value of "a" will satisfy this equation.
7 0
3 years ago
What expression is equivalent to <br> 2/3 X 5
Flura [38]

Answer:

1/3

Step-by-step explanation:

1/3 can be used as an expression that is exactly the same as 2/3x5.

When you multiply 2/3 x 5-

Look here if you need help solving 2/3 X 5: (2/3 x 5/1...is the simplest way to multiply the two, make sure to multiply 2 by 5 and 3 by 1 to get your answer.)(5x2=10...3x1=3)

-you get 10/3. This answer simplified is 1/3. So in the end, 1/3 is a great expression or answer to use as an equivalent to the equation 2/3 x 5.

Hoped this helped! :)

8 0
3 years ago
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