Where are the statements please?
Answer:
![x=-2](https://tex.z-dn.net/?f=x%3D-2)
Step-by-step explanation:
The given expression is
![\sqrt{x+3}+4=5](https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B3%7D%2B4%3D5)
We group the constant terms on the right hand side to obtain;
![\sqrt{x+3}=5-4](https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B3%7D%3D5-4)
![\Rightarrow \sqrt{x+3}=1](https://tex.z-dn.net/?f=%5CRightarrow%20%5Csqrt%7Bx%2B3%7D%3D1)
We square both sides of the equation to remove the square root.
![\Rightarrow (\sqrt{x+3})^2=1^2](https://tex.z-dn.net/?f=%5CRightarrow%20%28%5Csqrt%7Bx%2B3%7D%29%5E2%3D1%5E2)
![x+3=1](https://tex.z-dn.net/?f=x%2B3%3D1)
This will simplify to;
![x=1-3](https://tex.z-dn.net/?f=x%3D1-3)
![x=-2](https://tex.z-dn.net/?f=x%3D-2)
Answer:
hey there guys ^^
Step-by-step explanation:
If we assume that
x isthe number of multiple choice questions, and y is the number of word problems, we can write a system of equations like:
{ x + y = 38
{ 2x + 5y = 100
If we multiply the first equation by -2 we get:
{ -2x-2y = -76
{ 2x + 5y = 100
Now if we add both equations we get only equation with 1 unknown (y) :
3y = 24 ⇒ y = 8
Substituting the calculated value to the first equation we get:
x + 8 = 38 ⇒ x = 30
The solution:
{ x = 30
{ y = 8
means that:
The test had 30 multiple choice questions, and 8 word problems.