The equivalent system of equations that would guarantee a solution of (3,-1) are
- a. (p+f)x+(q+g)y= r+h and fx+gy=h
- d. px+qy=r and (f-2p)x+(g-2q)y=h-2r
- e. px+qy+r and 5fx+ 5gy = 5h
<h3>How to determine the system of equations?</h3>
The system of equations is given as:
px +qy =r
fx + gy = h
Add both equations
(p + f)x + (q + g)y = r + h
Multiply the second equation by a constant (say 5)
5fx + 5gy = 5h
Multiply the first equation by a constant (say 2)
2px + 2qy = 2r
The combination of any of the above equations to the given equation would guarantee a solution of (3,-1)
Hence, the equivalent system of equations are (a), (d) and (e)
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Answer:
x = 2
Step-by-step explanation:
10x + 1 = 2(3x + 5) - 1
- mutlipy the 2 to the 3x and the 5
- you should get 10x + 1 = 6x + 10 - 1
- now you have to add the combine terms
- so it will now be 10x + 1 = 6x + 9
- now you.have to get the x's on one side and the constants (numbers alone) on the other side
- so you can subtract the 6x on both sides
- once you do that you wil get 4x + 1 = 9
- After you get this equation you will have to subtract the one from both sides.
- you will get 4x = 8
- All you have to do it divide 4 on both sides. Your final answer is x = 2.
X1=-6,x2=1 that the answer
The answer is c) y=1/2x because a direct variation is in the formula b=ka where k is a constant.
