Answer:
<em>Proved below</em>
Step-by-step explanation:
<u>System of Equations</u>
There are several ways to solve a system of linear equations. One of the most-used is the method of elimination which consists in adding two or more equations to eliminate one or more variables.
The system shown in the question has evidently no solutions because we have the same variables related in the exact same way in the left side of both equations and a different number as a result of those operations.
To prove the statement, let's multiply the first equation by -1

Adding both equations:

This false result comes from the fact that we tried to solve a system with no solutions. The only way we could have solved it is that both right sides had been equal
Let the total number of students be x;
given that the ratio of girls to boys is 5:3, then:
The equation that represents the number of girls will be:
5/8x
The equation that represents the number of boys will be :
3/8x
The equation that represents the total number of boys and girls will be:
5/8x+3/8x
B] suppose there are g number of girls. The equation that represents the number of boys in terms of number of girls will be:
(ratio of boys to girls)×(number of girls)
3/5×(g)
=(3g)/5
The equation x^2 - 6x + 9 is a perfect square and when factored out it becomes C. ) It is a perfect square (x - 3)^2
Answer:
B
Step-by-step explanation:
The problem is simple because they use powers of 10. When something is multiplied by a power of ten, it is essentially moving the decimal point over for every power.
9.46x10^12= 9460000000000
4.0x10^13= 40000000000000
Although 4 itself is less than 9.46, since is is being multiplied by 10^13, it will be one decimal place bigger.
Answer:
<h2>x = 5/7</h2>
Step-by-step explanation:
-4x + 1 = 3x - 4 <em>subtract 1 from both sides</em>
-4x = 3x - 5<em> subtract 3x from both sides</em>
-7x = -5<em> </em>divide both sides by (-7)
<em>x = 5/7</em>