Answer: (x, y) = (2, 3)
This is the system of equations 2x - 3y = -5, 5x - 2y = 4. Multiply the first equation by 2 and the second equation by 3 to get 4x - 6y = -10, 15x - 6y = 12. Now we can use elimination: subtract the equations to get -11x = -22, so x = 2. 2x - 3y = 2(2) - 3y = 4 - 3y = -5, so 3y = 9 and y = 3. The solution is (2, 3).
i hope this helped! :D
Answer:
Step-by-step explanation:
In general, a scale factor is applied to an original (pre) to obtain an image (post). It is the ratio post/pre that expresses the relationship between image dimensions and original dimensions.
Here, that post/pre ratio is 3/4 = 0.75.
Option B: 
is the correct answer.
Explanation:
The given expression is 
Simplifying the expression, we have,
Factor the equations, 
and 
,we get,
Substituting these factored expressions in the above expression, we have,
Cancelling the common terms 
and 
, we get,
Thus, the expression equivalent to is
Hence, Option B is the correct answer.
Answer:
The answer to your question is Yes, he can buy it.
Step-by-step explanation:
Data
Money saved = $35
Original Price = $42
Discount = 30%
Tax = 5 %
Process
1.- Calculate the price of the Video game with the discount
$42 --------------------- 100%
x --------------------- 30%
x = (30 x 42) / 100
x = $ 12.6
Price with discount = 42 - 12.6
= $ 29.4
2.- Calculate the price of the Video game plus taxes
$29.4 ------------------- 100%
x ------------------- 5%
x = (5 x 29.4) / 100
x = 147 / 100
x = 1.47
Price plus taxes = 29.4 + 1.47
= $ 30.87
3.- Conclusion
Bruce can buy the Video game because he saved $35 and the video game plus taxes cost $30.87.
<em>Absolute value represents distance from zero on a number line.</em>
<em>-7 and 7 are the same distance away from zero, 7 units.</em>
<em>To visualize this, take a look at the image I have made below.</em>
