Answer:
x = -5
Step-by-step explanation:
Step 1: Write equation
-2x + 8 = 18
Step 2: Solve for <em>x</em>
- Subtract 8 on both sides: -2x = 10
- Divide both sides by -2: x = -5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-2(-5) + 8 = 18
10 + 8 = 18
18 = 18
Answer:
Here, the coordinates aren't telling special characteristic of any shape, so it would be Paralleogram
In short, Your Answer would be Option B
Step-by-step explanation:
Base = 5 * 12 = 60 in^2
Height = 4 in
Perimeter is the sum of all straight
Perimeter = 20 + 16 + 48
Perimeter = 84 in
Perimeter of base = 12 * 2 + 5 * 2 = 34
Let
x-------> the number of fiction books
y-------> the number of nonfiction books.
we know that
-----> equation 
-----> equation 
Add equation and equation
<u>find the value of y</u>
therefore
<u>the answer is</u>
Part a) the number of fiction books is 
Part b) the number of nonfiction books is 
Answer:
- The system has infinitely many solutions when a = 3/4 and b = 1/2
<h3>Given </h3>
System of linear equations
<h3>To find </h3>
- Values of a and b that leads to infinitely many solutions
<h3>Solution</h3>
The linear system of equations has infinitely many solutions when lines overlap, so both have same slope and y-intercept.
We can solve it in two different ways
1. Note that when the first equation is multiplied by 4, it has same value of constant as the second equation, which is 64.
- 4ax + 4by = 64
- 3x + 2y = 64
When compared it gives us:
- 4a = 3 ⇒ a = 3/4
- 4b = 2 ⇒ b = 2/4 = 1/2
2. Convert both equations from standard to slope-intercept form and compare:
- ax + by = 16
- by = -ax + 16
- y = - (a/b)x + 16/b
- 3x + 2y = 64
- 2y = - 3x + 64
- y = - (3/2)x + 32
Work out values of a and b:
- 16/b = 32 ⇒ b = 16/32 ⇒ b = 1/2
- - (a/b) = - 3/2 ⇒ a/b = 3/2 ⇒ a = 3b/2 ⇒ a = 3(1/2)/2 ⇒ a = 3/4
