Here the question is simple.
All because, we only need to find the value of x.
We are given two equations.
5x + 6 = 10 and 10x + 3 =?
So, we will find the the value of x in the first equation, so that we can substitute the value of x in the second one and there we are with the answer.
5x + 6 = 10
For finding the value of x, all we have to do is,
Transpose the number 6 to 10
Therefore. 5x = 10 - 6 ( Take the equal sign as The Magic Bridge on which if anyone crosses it , will change its sign.)
So we have,
5x = 4
So x = 4/5 ( Multiplication will change to division after crossing the equal sign)
( Doubtful? Substitute the value of x and try!)
Now that we got the value of x,
We can just simply substitute the value of x in the second equation.
10x + 3 = ?
x = 4/5
10*4/5 +3 => 5 and 10 get canceled to 2 at the numerator.
By normal multiplication and then addition, we will get,
8 + 3 = 11
Hope this helps!!!! :)
Answer:
53 mm
Step-by-step explanation:
Perimeter is the sum of the lengths of all its sides.
Let the length of the unknown side be x mm.
123= 25 +45 +x
x= 123 -25 -45
x= 53
Thus, the unknown side is 53 mm.
Answer:
0.02<x<0.80
0.4
Step-by-step explanation:
0.02 is equal to 2/100 and 0.8 is equal to 80/100
so you could really choose any number between 0.03 and 0.79
Answer:
They invested total $2730 over the past two years.
Step-by-step explanation:
Consider the provided information.
Dan and Paula regularly invested $25/week in a mutual fund account.
There are 52 weeks in a year.
Total money they invested in a mutual fund in first year.
$25×52 = $1300
They increased their weekly investment by 10 percent.
First find the 10% or 25.
That means they invest $25+$2.5 = $27.5
They invest $27.5/week in next year.
Total money they invested in a mutual fund in second year.
$27.5×52 = $1430
Hence the total money they invested in the account over the past two year is:
$1300+$1430=$2730
Hence, they invested total $2730 over the past two years.
Answer:
Step-by-step explanation:
3x – y + 2z = 6 - - - - - - - - - 1
-x + y = 2 - - - - - - - - - - - - -2
x – 2z = -5 - - - - - - - - - - - -3
From equation 2, x = y - 2
From equation 3, x = 2z - 5
Substituting x = y - 2 and x = 2z - 5 into equation 1, it becomes
3(y - 2) – y + 2z = 6
3y - 6 - y + 2z = 6
3y - y + 2z = 6 + 6
2y + 2z = 12 - - - - - - - - - 4
3(2z - 5) – y + 2z = 6
6z - 15 - y + 2z = 6
- y + 6z + 2z = 6 + 15
- y + 8z = 21 - - - - - - - - - - 5
Multiplying equation 4 by 1 and equation 5 by 2, it becomes
2y + 2z = 12
- 2y + 16z = 42
Adding both equations
18z = 54
z = 54/18 = 3
Substituting z = 3 into equation 5, it becomes
- y + 8×3 = 21
- y + 24 = 21
- y = 21 - 24 = - 3
y = 3
Substituting y = 3 into equation 2, it becomes
-x + 3 = 2
- x = 2 - 3 = -1
x = 1
