Answer:
9(x + 2) = x - 6
9x+18=x-6
9x-x=-18-6
8x=-24
x=-24/8=-3 is your answer
Answer:
one solution
Step-by-step explanation:
* Lets start to solve the question
- The 1st equation x - y = -4
- The 2nd equation 3x + y = 8
- We will use the elimination method to solve this system of equation
∵ x - y = -4 ⇒ (1)
∵ 3x + y = 8 ⇒ (2)
- Add the two equation (1) and (2) to eliminate y
∴ x + 3x = -4 + 8
∴ 4x = 4
- Divide both sides by 4
∴ x = 1
- Substitute the value of x in equation (1) or equation (2) to find
the value of y
- We will use equation (1)
∴ 1 - y = -4
Subtract 1 from both sides
∴ -y = -5
- Divide both sides by -1
∴ y = 5
∴ The solution is (1 , 5)
* The system has one solution
Given:
The figure of triangle ABC.
The area of the triangle ABC is D.
To find:
The value of m and n in the given expression.
Solution:
Let h be the height of the triangle ABC.
Area of a triangle is:
Where, b is the base and h is the height of the triangle.
The area of the triangle ABC is D.
...(i)
In a right angle triangle,
[Using (i)]
...(ii)
We have,
...(iii)
On comparing (ii) and (iii), we get
Therefore, the required values are .
Answers:
x=22
x+4=26
6x=132
Explanation:
We learned from the question that all of the angles in a triangle add up to 180 degrees.
180=angle+angle+angle
When we plug in the values that the question gives us for the angles, we get this equation:
180=x+6x+(x+4)
After solving this equation, we get 22 as the value of x (The process of solving that equation is in the picture attached).
To solve for (x+4), we plug in the value of x, which is 22 and add 4.
(x+4)
=(22+4)
=26
And finally, to solve for 6x, we plug in 22 again:
6x
=6*22
=132
Hope this helps!