I need help solving 4 equations step by step. Please help.
5
1. --- (t) = -9
13
X+2
2. 6 = -----
3
W
3. 13 + --- = -18
7
4. 17 = -13 - 8x
The numbers on top and bottom of the 1. , 2. , 3. And 4 are supposed to the numerator and denominator of the fraction in the equation
write your equations like this:
(5/13)t = -18
multiply each side by 13
5t = -234
divide both sides by 5
t = -234/5 = -46.8
if #2 is
6 = (x+2)/3
same concept, multiply each side by 3, that clears the fraction
18 = x+2
continue
#3
13 + w/7 = -18
same thing, multiply each term by 7, etc
#4, the easiest of the four
17 = -13 - 8x
add 13 to both sides, then divide both sides by -8
Sure, I can help you solve these equations step by step. Let's take them one by one:
1. **Equation:** (5/13)t = -9
**Step 1:** To solve this equation, we need to isolate the variable 't'. Multiply both sides of the equation by the reciprocal of the fraction (13/5).
(5/13) * (13/5)t = -9 * (13/5)
t = (-9 * 13) / 5
**Step 2:** Calculate the right side of the equation:
t = -117 / 5
Therefore, the solution to the equation is t = -117/5 or -23.4.
2. **Equation:** 6 = (x+2) / 3
**Step 1:** To solve this equation, we need to isolate the variable 'x'. Multiply both sides of the equation by 3:
3 * 6 = (x+2)
18 = x + 2
**Step 2:** To isolate 'x', subtract 2 from both sides of the equation:
18 - 2 = x
x = 16
Therefore, the solution to the equation is x = 16.
3. **Equation:** 13 + (W/7) = -18
**Step 1:** To solve this equation, we need to isolate the variable 'W'. Subtract 13 from both sides of the equation:
13 + (W/7) - 13 = -18 - 13
W/7 = -31
**Step 2:** To isolate 'W', multiply both sides of the equation by 7:
7 * (W/7) = -31 * 7
W = -217
Therefore, the solution to the equation is W = -217.
4. **Equation:** 17 = -13 - 8x
**Step 1:** To solve this equation, we need to isolate the variable 'x'. Add 13 to both sides of the equation:
17 + 13 = -13 + 13 - 8x
30 = -8x
**Step 2:** To isolate 'x', divide both sides of the equation by -8:
(30) / (-8) = (-8x) / (-8)
x = -3.75
Therefore, the solution to the equation is x = -3.75.
I hope this helps! Let me know if you have any further questions.