How would you represent the following relationship using px+q=r ?
The result is −5 when 12 is added to 5 times a number.
(2 points)
x+
=
9 answers
(x)5 + 12 = -5
How would you represent the following relationship using px−q=r ?
The difference of 3 times a number and 9/2 is 13.
(2 points)
The difference of 3 times a number and 9/2 is 13.
(2 points)
(3x) - (9/2) = 13
Solve for the value of y in the equation 2y−9=11 .(1 point)
To solve for the value of y in the equation 2y - 9 = 11, we can isolate y by following these steps:
1. Add 9 to both sides of the equation:
2y - 9 + 9 = 11 + 9
This simplifies to:
2y = 20
2. Divide both sides of the equation by 2:
2y/2 = 20/2
This simplifies to:
y = 10
Therefore, the value of y in the equation 2y - 9 = 11 is y = 10.
1. Add 9 to both sides of the equation:
2y - 9 + 9 = 11 + 9
This simplifies to:
2y = 20
2. Divide both sides of the equation by 2:
2y/2 = 20/2
This simplifies to:
y = 10
Therefore, the value of y in the equation 2y - 9 = 11 is y = 10.
Solve for the value of h in the equation h/−4+1=12 .(1 point)
To solve for the value of h in the equation h/−4 + 1 = 12, we can follow these steps:
1. Subtract 1 from both sides of the equation:
h/−4 + 1 - 1 = 12 - 1
This simplifies to:
h/−4 = 11
2. Multiply both sides of the equation by -4:
(h/−4) * -4 = 11 * -4
This simplifies to:
h = -44
Therefore, the value of h in the equation h/−4 + 1 = 12 is h = -44.
1. Subtract 1 from both sides of the equation:
h/−4 + 1 - 1 = 12 - 1
This simplifies to:
h/−4 = 11
2. Multiply both sides of the equation by -4:
(h/−4) * -4 = 11 * -4
This simplifies to:
h = -44
Therefore, the value of h in the equation h/−4 + 1 = 12 is h = -44.
Solve for the value of x in the equation 10x+5x+5=65 .(1 point)
To solve for the value of x in the equation 10x + 5x + 5 = 65, we can follow these steps:
1. Combine like terms on the left side of the equation:
10x + 5x + 5 = 65
Simplifying, we get:
15x + 5 = 65
2. Subtract 5 from both sides of the equation:
15x + 5 - 5 = 65 - 5
This simplifies to:
15x = 60
3. Divide both sides of the equation by 15:
(15x) / 15 = 60 / 15
This simplifies to:
x = 4
Therefore, the value of x in the equation 10x + 5x + 5 = 65 is x = 4.
1. Combine like terms on the left side of the equation:
10x + 5x + 5 = 65
Simplifying, we get:
15x + 5 = 65
2. Subtract 5 from both sides of the equation:
15x + 5 - 5 = 65 - 5
This simplifies to:
15x = 60
3. Divide both sides of the equation by 15:
(15x) / 15 = 60 / 15
This simplifies to:
x = 4
Therefore, the value of x in the equation 10x + 5x + 5 = 65 is x = 4.