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laila [671]
3 years ago
13

2b=6a-14,3a-b=7 how to work it out

Mathematics
2 answers:
pshichka [43]3 years ago
5 0
So, since there are two equations, we can substitute one of them into the other. In this case, it would be easiest to substitute 2b=6a-14 into the other equations. But first, simplify by dividing both sides by 2. You bet b=3a-1

We can now plug this into the other equation
Sine the equation b=3a-1 results in the value of b, we have to plug in for the value of b in the other equation

So this is what we get after plugging in:
3a-(3a-1)=7
Now, simplify. 3a-3a+1=7
Since 3a-3a = 0, this equation results in a no solution

Answer:
The result is a no-solution, or Ф

Hope this helped!! :D
dmitriy555 [2]3 years ago
5 0
2b=6a-14
3a-b=7
(rearrange so that all the a's b's and numbers line up) *better if number alone
2b - 6a = -14
-b + 3a = 7
(never have a negative number in the front so change whole equation)
2b - 6a = -14
  b - 3a = -7

now try to get ride of some numbers.....get rid of the negative 6 and 3 by finding a way to make the numbers the same

2b - 6a = -14 
2b - 6a = -14 ......multiply each number by two and you get the same equation as above

It is impossible to find a or be because the equations are the same just one in a reduce form







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32 one-dollar bills.

Step-by-step explanation:

Let <em>x </em>represent one-dollar bills and <em>y </em>represent two-dollar bills.

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The total amount of money James has is 66. <em>x</em> is worth one dollar, while <em>y</em> is worth two dollars. Therefore:

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x+2y=66\\x+y=49\\x=49-y\\(49-y)+2y=66\\y=17\\x=49-17=32

Therefore, James has 32 one-dollar bills and 17 two-dollar bills.

Checking:

32(1)+17(2)\stackrel{?}{=}66\\32(1)+17(2)\stackrel{\checkmark}{=}66\\\\32+17\stackrel{?}{=}49\\49\stackrel{\checkmark}{=}49

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