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3 years ago

What is the value of x in the equation is 4+6x=-3+7x

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

5 0

Answer:

x=1

Step-by-step explanation:

choose a side to get rid of so since its easier to take 6 away from seven we will do that but remember what you do to one side you have to do to the other
so take away 6x from the left that leaves 0 your equation should look like this 4=-3+7x remember that we have to to it to the right side too
so take 6x away from the 7x on the right side and that leaves 1x so it should look like this 4=-3+1x
then since it's a -3 you will need to add 3 for it ton equal 0 so it will look like this 4=7x
but dont for get to do the same to the other side so add 3 to the 4 on the left so it will look like this 7=7x
then divide by 7 to get x by itself so it will look like this 7=x
but you aren't done yet you still have to divide the left by 7 so it will look like this 1=x

and thats all there is to it hope this helps

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The sum of the first three terms in a GP is 38.Their product is 1728.Find the values of the three terms.

dusya [7]

Answer:

The value of the three terms is 8 and 18

Step-by-step explanation:

Let "a" be the first term and "r" be the common ratio.

Then from the condition, we have these two equations

a + ar + ar^2 = 38, (1)

a*(ar*)*(ar^2) = 1728. (2)

From equation (2), a^3*r^3 = 1728, or (ar)^3 = 1728, which implies

ar = root%283%2C1728%29 = 12; (3)

hence,

r = 12%2Fa. (4)

Now, in equation (1) replace the term ar by 12, based on (3). You will get

a + 12 + ar^2 = 38, which implies

a + ar^2 = 26. (5)

Next, substitute r = 12%2Fa into equation (5), replacing "r" there. You will get

a + a%2A%28144%2Fa%5E2%29 = 26, or

a + 144%2Fa = 26.

Multiply by "a" both sides and simplify

a^2 - 26a + 144 = 0,

%28a-13%29%5E2 - 169 + 144 = 0

%28a-13%29%5E2 = 25

a - 13 = +/- sqrt%2825%29 = +/- 5.

Thus two solutions for "a" are a = 13 + 5 = 18 or a = 13 - 5 = 8.

If a = 8, then from (4) r = 12%2F8 = 3%2F2.

If a = 18, then from (4) r = 12%2F18 = 2%2F3.

In the first case, if a = 8, then the three terms are 8, 8%2A%283%2F2%29 = 12 and 8%2A%283%2F2%29%5E2 = 18.

In this case, the sum of terms is 8 + 12 + 18 = 38, so this solution does work.

In the second case, if a = 18, then the three terms are 18, 18%2A%282%2F3%29 = 12 and 18%2A%282%2F3%29%5E2 = 8.

In this case, the sum of terms is 18 + 12 + 8 = 38, so this solution does work, too.

ANSWER. The problem has two solution:

a) first term is 18; the common difference is 2%2F3 and the progression is 18, 12, 8.

b) first term is 8; the common difference is 3%2F2 and the progression is 8, 12, 18.

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What is the value of x in the equation is 4+6x=-3+7x​

What is the value of x in the equation is 4+6x=-3+7x