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:( solve equation for y. then find the value of y for the given value of x?
the directions of the math problem says:
solve the equation for y. then find the value of y for the given value of x.
this is my h.w. problem:
15x + 4y = 9; x = -3
please help me! how did you do this?
& whats the answers? :(
9 Answers
- Jun AgrudaLv 71 decade agoFavorite Answer
15x + 4y = 9
4y = 9 - 15x
y = (9 - 15x)/4
Answer: (9 - 15x)/4 OR 9/4 - 15/4x
------------
= 9/4 - 15/4(- 3)
= 9/4 + 45/4
= 54/2 or 27/2
Answer: y = 27/2 or 13 1/2
Checking original equation:
15(- 3) + 4(27/2) = 9
- 45 + 108/2 = 9
- 45 + 54 = 9
9 = 9
- 1 decade ago
Solve the equation for y would possibly mean making y the subject of the equation, or in other words, changing our equation to "y = ..."
So we do this:
4y = 9 - 15x
y = (9 - 15x) / 4
Now substituting into this equation, the given value of x:
y = [ 9 - 15 (-3) ] / 4
y = [ 9 + 45 ] / 4
y = 54 / 4
y = 13.5
Source(s): High school Math - 1 decade ago
First you need to plug X into your equation. So,,,
15X + 4Y = 9 becomes
(15*-3) + 4Y = 9 Simplify your equation
-45 + 4Y = 9 Now simply balance the equation so y is alone by adding 45 to both sides
-45+45 + 4Y = 9+45
4Y = 54 Then divide by 4 to make y all alone and you have your answer.
4y/4 = 54/4
y = 13.5
- Anonymous1 decade ago
Solving the equation means simplifying it.
Like this:
15x+4y=9
or, 4y=9-15x
0r, y=(9-15x)/4
Now y will have different values, for different values of x.But it's given that x=-3, So, y=(9-15x(-3))/4
=(9+45)/4
=27/2=13.5
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- 1 decade ago
15x + 4y = 9
subtract 15x on both sides: 4y = 9 - 15x
divide both sides by 4: y = 9/4 -15x/4 = 2 1/4 - 3 3/4 x
Now, for x = -3, this gives:
y = 2 1/4 - 3 3/4 * -3 = 2 1/4 + 11 1/4 = 13 1/2
- 1 decade ago
15x + 4y = 9
4y = 9 - 15x
y = [9-15x]/4
Now
Substitute the value of x in the given equation.
Then you get,
y = [9 - 15*(-3)]/4
= [9 + 45]/4
= 54/4
= 27/2 = 13.25