Question

solve the equation and check the solution -8(t-6)-(t+9)=4

Answer 1

@luke642 Have you worked on this problem yet?

You'll need to use the distributive property.

-8(t-6)-(t+9)=4

-8*(t-6) -1* (t+9) = 4

-8 (t) - 8 (-6) - 1(t) - 1(9) = 4

What comes next?

Answer 2

the solution is t=?
(type an integer or a simplified fraction)

Answer 3

@luke642 You need to simplify -8 (t) - 8 (-6) - 1(t) - 1(9) and then set the result equal to 4. Then, you'll solve the equation. The solution will be a Real number, most likely a fraction which you may want to convert to a decimal. I don't know what your instructions are with regard to the format of the answer. Let's get the answer first. :)

Answer 4

5.8888889

Answer 5

@luke642 --> How did you get that?

Answer 6

Simplifying
-8(t + -6) + -1(t + -9) = 4

Reorder the terms:
-8(-6 + t) + -1(t + -9) = 4
(-6 * -8 + t * -8) + -1(t + -9) = 4
(48 + -8t) + -1(t + -9) = 4

Reorder the terms:
48 + -8t + -1(-9 + t) = 4
48 + -8t + (-9 * -1 + t * -1) = 4
48 + -8t + (9 + -1t) = 4

Reorder the terms:
48 + 9 + -8t + -1t = 4

Combine like terms: 48 + 9 = 57
57 + -8t + -1t = 4

Combine like terms: -8t + -1t = -9t
57 + -9t = 4

Solving
57 + -9t = 4

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-57' to each side of the equation.
57 + -57 + -9t = 4 + -57

Combine like terms: 57 + -57 = 0
0 + -9t = 4 + -57
-9t = 4 + -57

Combine like terms: 4 + -57 = -53
-9t = -53

Divide each side by '-9'.
t = 5.888888889

Simplifying
t = 5.888888889

Answer 7

it looks wrong

Answer 8

@Luke642 --> You appear to have skipped several steps.

-8 (t) - 8 (-6) - 1(t) - 1(9) = 4
-8t + 48 - t - 9 = 4
-9t + 39 = 4
Please check my work and then solve for t showing the steps. Thanks.

Answer 9

is that correct directrix? -35/9 thanks ello_bello,for breaking it down, it just seems both of you did the step the same but different order

Answer 10

@ello_bello @luke642 x = 35/9 which approximates to 3.888888...

Luke, your work is detailed and thorough. I am looking for the error. Hold on.

While I am checking for the error, would the two of you take the original equation and show that the answer checks by substituting 35/9 for t in:

-8(t-6)-(t+9)=4

Answer 11

@luke642 The original equation is: -8(t-6)-(t+9)=4. Note that the 9 is positive-->(t+9)
In your work, the 9 is negative within the parentheses -->Simplifying
-8(t + -6) + -1(t + -9) = 4
After the Distributive Property is applied that -9 will be -1(-9) = 9. It should be -9.
It appears that you distributed the -1 to th -9 twice.

Answer 12

thanks directrix

Answer 13

Glad to help. Your work was thorough. The 9 was accidentally changed to -9 when you wrote the problem. No worries.

Have you checked this problem yet?

Answer 14

im taking a test so i cant check to see if its correct till im done with the whole test,

but thanks

Answer 15

its correct

Answer 16

solve the linear inequality 5- 9/5x \[\ge6\]

Answer 17

help
please