(1 point)
Responses
3x5−10=−73 x over 5 minus 10 is equal to negative 7
14=74x−194+2x14 is equal to 7 fourths x minus 19 fourths plus 2 x
35−15b=9535 minus 15 b is equal to 95
15b = -60
b = -4
is it c
Apologies for the confusion in my previous response. Upon rechecking, the correct answer for the equation 35 - 15b = 95 is:
b = -4
So, yes, the answer is c.
To solve these equations, we need to isolate the variable on one side of the equation. Let's break it down step by step:
Equation 1: 3x/5 - 10 = -7
1. First, we need to get rid of the -10 on the left side of the equation. We can do this by adding 10 to both sides:
3x/5 - 10 + 10 = -7 + 10
3x/5 = 3
2. Next, we want to isolate the variable, x. Since x is multiplied by 3/5, we can undo this operation by multiplying both sides by the reciprocal of 3/5, which is 5/3:
(3x/5) * (5/3) = 3 * (5/3)
x = 5
So, the solution to the equation 3x/5 - 10 = -7 is x = 5.
Equation 2: 14 = 7/4x - 19/4 + 2x
1. First, we want to simplify the equation. We can do this by combining like terms on the right side:
7/4x + 2x - 19/4 = 14
2. We can find a common denominator for the fractions on the right side, which is 4:
(7x + 8x - 19)/4 = 14
3. Combine like terms on the left side:
(15x - 19)/4 = 14
4. To get rid of the fraction, we can multiply both sides by 4:
4 * (15x - 19)/4 = 14 * 4
15x - 19 = 56
5. Now, we isolate the variable by adding 19 to both sides:
15x - 19 + 19 = 56 + 19
15x = 75
6. Finally, we divide both sides by 15 to solve for x:
15x/15 = 75/15
x = 5
So, the solution to the equation 14 = 7/4x - 19/4 + 2x is x = 5.
Equation 3: 35 - 15b = 95
1. We want to isolate the variable, b. Since -15b is subtracted from 35, we can undo this operation by adding 15b to both sides:
35 - 15b + 15b = 95 + 15b
35 = 95 + 15b
2. Next, we want to get rid of the constant term, 95, on the right side. We can do this by subtracting 95 from both sides:
35 - 95 = 95 + 15b - 95
-60 = 15b
3. Finally, we solve for b by dividing both sides by 15:
-60/15 = 15b/15
-4 = b
So, the solution to the equation 35 - 15b = 95 is b = -4.