How are these two equations, 4y - x = 8 , and y = 1/4x + 2 , the same? Please show me the steps.
2007-07-20 08:38:47 · 12 answers · asked by Daphne 1 in Science & Mathematics ➔ Mathematics
4y - x = 8
Transpose x
4y - x + x = x + 8
4y = x + 8
Divide both sides of the equation by 4
4y / 4 = x / 4 + 8 / 4
y = x / 4 + 8 / 4
y = 1/4x + 2
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x / 4 is the same as 1/4x
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2007-07-20 10:03:05 · answer #1 · answered by SAMUEL D 7 · 1⤊ 0⤋
4y-x = 8
Add x to both sides
4y = x+8
Divide by 4
y = 1/4 x + 8/4
Simplify
y = 1/4 x + 2
2007-07-20 15:57:04 · answer #2 · answered by danjlil_43515 4 · 0⤊ 0⤋
They are not the same.
Y was expressed in terms of x.
4y - x = 8
To express y in terms of x:
4y = 8 + x
y = 8 +x/4
Further simplify y = 8 +x/4
y = 8/4 + x/4
y = 2 + x/4
y = 2 + x/4 is the simplest form you can get. THe person above me is stupid. Why???
y = 2 + x/4 IS NOT equal to y = 1/4x + 2
Now I ask you, ask your teacher and you'll find out I'm right.
The equation in your question is y = 1/4x + 2 which translates to: Y is equal to 1 over 4x plus 2.
The person above me is so worng. He thought that y = 1/4x + 2 is the same as y=(1/4)x+2.
y=(1/4)x+2 was his final equation as you can see on his answer.
y=(1/4)x+2 was not the equation your question. The equation on your question was " y = 1/4x + 2 "
I hope you don't select him as the best answer.
2007-07-20 15:46:09 · answer #3 · answered by michaelangelo 2 · 0⤊ 1⤋
To solve for Y you need to first add X to both side...
4y - X + X = 8 + X
that leads to
4y = 8 + X (The -X + X equals zero... it drops out).
Then, divide both sides by four...
4y/4 = 8/4 + X/4
The above becomes
y = 2 + x/4 which is 1/4x + 2
2007-07-20 15:45:12 · answer #4 · answered by Bin Yummy 3 · 0⤊ 0⤋
Solve the first equation for y and see if it is in the same form as the answer in quotes:
4y - x = 8
4y = 8 + x
4y = x + 8
y = (x + 8)/4
y = x/4 + 8/4
y = (1/4)x + 2
2007-07-20 15:44:02 · answer #5 · answered by N E 7 · 0⤊ 0⤋
Take y=1/4x+2 and multiply both sides by 4 to get...
4y=x+8 eg. (4*y=4y) and (4*1/4x=x) and (4*2=8)
Then subtract x from both sides to get...
4y-x=8
2007-07-22 20:49:02 · answer #6 · answered by Anonymous · 0⤊ 0⤋
to express the equation 4y-x=8 as a function you must solve for y.
to do this add +x to both sides of your equation then divide both
sides by 4. to get y=1/4x+2
2007-07-20 15:56:35 · answer #7 · answered by william b 2 · 0⤊ 0⤋
Lets solve the equation 4y - x = 8 to show their similarity.
4y - x = 8
4y=8+x
y= (8+x)/4
now distribute
y=8/4 +x/4
y=2+x/4
or
y=(1/4)x+2
2007-07-20 15:45:14 · answer #8 · answered by palm 2 · 1⤊ 0⤋
4y - x = 8 == ..(divide all terms by 4)
y - x/4 = 8/4 == . . . .(add x/4 to both sides)
y = 8/4 + x/4 == . . .(simplify)
y = 2 + x/4 ==
y = x/4 + 2
2007-07-20 15:43:15 · answer #9 · answered by Gary H 6 · 0⤊ 0⤋
Start: (this is in "general equation of a line" form ax + by = c)
4y - x = 8
Move everything over to other side of equal sign to get y by itself...
4y = 1x + 8 ---------------->Add the 1x to both sides to move it to the other side...
4y/4 = 1x/4 + 8/4 --------------->Divide everything by 4 to get it to the other side...
y = (1/4)x + 2
This is standard linear "slope-intercept" form. y = mx + b.
2007-07-20 15:43:07 · answer #10 · answered by Reese 4 · 0⤊ 0⤋