Solve for the given variable. −16x−19=−12x+9 (1 point)x=
To solve for x in the equation −16x−19=−12x+9, we need to isolate x on one side of the equation.
First, we can combine like terms:
−16x + 12x = 9 + 19
-4x = 28
Next, we can divide both sides by -4:
x = 28 / -4
Simplifying the division gives us:
x = -7
Therefore, the solution is x = -7.
olve for the given variable. −27y+9=17 (1 point)y=
To solve for y in the equation −27y+9=17, we need to isolate y on one side of the equation.
First, we can subtract 9 from both sides of the equation:
−27y + 9 - 9 = 17 - 9
-27y = 8
Next, we can divide both sides by -27:
y = 8 / -27
Therefore, the solution is y = -8/27.
14x+17=10x+7 (1 point)x=
To solve for x in the equation 14x+17=10x+7, we need to isolate x on one side of the equation.
First, we can subtract 10x from both sides of the equation:
14x + 17 - 10x = 10x + 7 - 10x
4x + 17 = 7
Next, we can subtract 17 from both sides:
4x + 17 - 17 = 7 - 17
4x = -10
Then, we divide both sides by 4:
x = -10 / 4
Simplifying the division gives us:
x = -5/2 or x = -2.5
Therefore, the solution is x = -5/2 or x = -2.5.
58z+7=24 (1 point)z=
To solve for z in the equation 58z+7=24, we need to isolate z on one side of the equation.
First, we can subtract 7 from both sides of the equation:
58z + 7 - 7 = 24 - 7
58z = 17
Next, we divide both sides by 58:
z = 17 / 58
Therefore, the solution is z = 17/58.
10p+1=8p+10 (1 point)p=
To solve for p in the equation 10p+1=8p+10, we need to isolate p on one side of the equation.
First, we can subtract 8p from both sides of the equation:
10p - 8p + 1 = 8p - 8p + 10
2p + 1 = 10
Next, we can subtract 1 from both sides:
2p + 1 - 1 = 10 - 1
2p = 9
Then, we divide both sides by 2:
p = 9 / 2
Simplifying the division gives us:
p = 4.5
Therefore, the solution is p = 4.5.
To solve for the variable x in the equation −16x−19=−12x+9, we need to get all the terms with x on one side of the equation and all the constant terms on the other side.
Let's start solving step by step:
Step 1: Simplify both sides of the equation by combining like terms.
On the left side, we have -16x and on the right side, we have -12x. Combining these terms, we get:
-16x + 12x - 19 = 9
Simplifying further, we have:
-4x - 19 = 9
Step 2: Move the constant term (-19) to the right side of the equation by adding 19 to both sides.
-4x - 19 + 19 = 9 + 19
Simplifying further, we have:
-4x = 28
Step 3: Solve for x by dividing both sides of the equation by -4.
(-4x) / -4 = 28 / -4
Simplifying further, we have:
x = -7
Therefore, the solution for the given variable is x = -7.