The value of " X " is...
1 answer:
Answer:
3
Step-by-step explanation:
If you multiply the first equation by 2 and add the second, you eliminate z from the resulting equation.
If you add the first and third equations, you also eliminate z from the result.
Both of these resulting equations will have 3y as their second term, so you can subtract the first result from the second to eliminate the y variable and find the value of x.
This process has a shortcut. If we call the equations A, B, and C, the first elimination is done by calculating 2A+B. The second elimination calculates A+C. To find x, we compute ...
... (A+C) -(2A+B) = -A -B +C
... -(2x +y -z) -(-x +y +2z) +(3x +2y +z) = -3 -0 +9
... x(-2+1+3) +y(-1-1+2) +z(1-2+1) = 6
... 2x = 6
... x = 3
_____
Since this is a college math question, we presume you have a graphing calculator and are expected to know how to use it. The solution to systems of linear equations on such a calculator is usually pretty simple. A TI-84 can tell you the values of x, y, and z pretty easily: (x, y, z) = (3, -1, 2).
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Answer:
Step-by-step explanation:
Amount paid for first 100 watches = (65% of 80) *100
Amount paid for next 50 watches = (55% of 80) * 50
Remaining watches = 280 -(100+ 55)
= 280 - 155 = 125
Amount paid for 125 watches = (45% of 80) *125
Amount received by the watch maker = 5200 + 2200 + 4500
= £ 11900
Answer: Their equations have different y-intercept but the same slope
Step-by-step explanation:
Since, the slope of the line passes through the points (2002,p) and (2011,q) is,
Similarly, the slope of the line asses through the points (2,p) and (11,q) is,
Since,
Hence, both line have the same slope.
Now, the equation of the line one having slope and passes through the point (2002,p) is,
Put x = 0 in the above equation,
We get,
The y-intercept of the line one is
Also, the equation of second line having slope and passes through the point (2,p)
Put x = 0 in the above equation,
We get,
The y-intercept of the line one is
Thus, both line have the different y-intercepts.
⇒ Third option is correct.
Answer:
Solution given:.
area of traingle EFG=1/2b×h=1/2×7×6=21cm²
area of rectangle ABCD=l×b=(20+9)×7=203cm²
area of rectangle BHIJ=l×b=9×11=99cm²
Total area =21+203+99=323<u>cm²</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u>
