Step-by-step explanation:
7x + 8y = -12
8y=-12-7x
y=
Answer:
32 and 58
Step-by-step explanation:
Let's set up equations.
The sum of two numbers (x and y) is 90: x + y = 90
The larger number (y) is 6 less than twice the smaller number (x): y = 2x - 6
We have our system of equations:
x + y = 90
y = 2x - 6
Let's use substitution.
Substitute y = 2x - 6 into the first equation.
x + y = 90
x + (2x - 6) = 90
Combine like terms.
x + 2x - 6 = 90
3x - 6 = 90
Add 6 to both sides to isolate x.
3x = 96
Divide both sides by 3 to further isolate x.
x = 32
Now that we know x, let's find y.
Plug in x = 32 into one of our original equations.
y = 2x - 6
y = 2(32) - 6
Multiply.
y = 64 - 6
y = 58
Now we have x = 32, y = 58.
Check your answer by plugging these values into one of our original equations.
x + y = 90
32 + 58 = 90
Add.
90 = 90
Your solution is correct.
Hope this helps!
4/5 = 1/2 +1/5 +1/10
3/8 = 1/4 +1/8
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It isn't clear whether you want the second decomposition to be using unit fractions, or what other restrictions may apply. It also is not clear what sort of equation is intended. Perhaps your text has an example for guidance.
4/5 = 1/2 +1/4 +1/20
3/8 = 1/3 +1/24
The answer would we (true)
Answer:
1/4 divided by 3/8
(write in simplest form)
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1/3 divided by 5/6
(simplest form)
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1 3/4 divided by 3
(simplest form)
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1 3/5 divided by 5/8
(simplest form) (I think its 1)
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10 divided by 2/5
(simplest form) (I think its 25)
Lesson 7 Dividing Fractions and Mixed Numbers
Unit 4 Operations with Fractions and Rational Numbers
Connections AcademyStep-by-step explanation:
