The system of equations when been placed in a matrix yields
![\left[\begin{array}{ccc}650&-1\\120&1\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}-175\\25080\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D650%26-1%5C%5C120%261%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-175%5C%5C25080%5Cend%7Barray%7D%5Cright%5D)
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Given the equation:
y = 650x + 175 and;
y = 25080 - 120x
Rearranging the equations gives:
650x - y = -175 and;
120x + y = 25080
Placing the equations in a matrix gives:
The system of equations when been placed in a matrix yields
Find out more on equation at: brainly.com/question/2972832
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Since the triangles are similar, all sides are proportional by the same scale factor.
The relationship between the bases 32 and 8 is 4 (32/8 = 4). This means that the smaller triangle need to be multiplied by a scale factor 4 to result in the bigger triangle.
This means that 4x + 12 is 4 times greater than 15.
The equation to solve for x can be written as:
4x + 12 = 4*15
Now just solve for x as u normally would
4x + 12 = 60
(Subtract twelve from both sides)
4x = 48
(Divide both sides by 4 to isolate x)
x = 12
I hope this somewhat helped :)
Was my explanation clear enough?
Answer:
a = 45 degrees
Step-by-step explanation:
Since both angles are a, they are equal to each other
Also, we know that the right angle means it measures 90 degrees
So, (180-90)/2 = a
a = 45 degrees
Answer:
25
Step-by-step explanation:
5*5=25
Answer: The smaller integer is 12, while larger integer is 23
Step-by-step explanation:
The sum of two positive integer;
a + b = 35, when smaller integer is subtracted from twice the larger integer we have, 2a - b = 34 assuming b as the smaller integer, so your equation goes this way.
a + b = 35........(1)
2a - b = 34.......(2). To solve by elimination method add both equation. We have;
3a + 0 = 69
3a = 69, divide both sides by 3.
3a/3 = 69/3 so we have;
a = 23
To know the value of b, substitute 23 for the value of a in any of the equations, let's go with (1). From one we have;
a + b = 35 if a = 23 we have;
23 + b = 35
b = 35 - 23
b = 12.
Check: a + b = 35
23 + 12 = 35
35 = 35
The answer is correct.
