We can solve this system using elimination:
(x+y=24)3
3x+5y=100
3x+3y=72
-(3x+5y=100)
0x-2y=-28
y=14
We can then plug this back into one of the original equations:
x+14=24
x=10
We can check our answer by plugging this into both of the original equations:
10+14=24
24=24
3(10) + 5(14)=100
30+70=100
100=100
Therefore, there are 10 3-point questions and 14 5-point questions.
Step-by-step explanation:
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Answer:
If we do square on both sides we get two answers i.e. (x+12)^2=(3x+20)^2
(x^2)+24x+144=(9x^2)+120x+400
(8x^2)+96x+256=0
(x^2)+12x+32=0
(x+4)(x+8)=0
x= -4 or x= -8.
Else we have another method
x+12=3x+20
x+12–20=3x
x-8=3x,
Now square on both sides.
(x-8)^2=(3x)^2
x^2–16x+64=(9x^2)
(9x^2)-(x^2)+16x-64=0
(8x^2)+16x-64=0
(x^2)+2x-8=0
(x+4)(x-2)=0
x= -4 or x= 2.
But It Didn’t Satisfy for The Equation When
x=2 or x= -8,So The Value of x will be -4 which satisfies given question.
Answer:
Step-by-step explanation:
The equation given is:
We take d's to one side and others to another side of the equal sign. Thus,
<u>Note:</u> remembering to change signs when changing sides
Now, we want to isolate d on the RHS:
To make "d" the subject, we divide both sides by "m+6", to get our answer:
This is the answer.
