2+3m=17
7
6
10
5
use inverse operations to solve each equation. Explain each step and identify the propaty used to reach steps.
19=h/3-8
solve the equation : expiation each step and identify the property used to reach each step
0.6x+0.8=1.4
thanks
I don't know if you need inverse operations but the equations can be solved with the following steps..
Eq 1: 19 = h/3 -8
Add 8 to both sides of equation
19 + 8 = h/3
or h/3 = 27
Multiply both sides by 3
h = 27*3 = 81
To solve the equation 2 + 3m = 17 using inverse operations:
Step 1: Subtract 2 from both sides of the equation to isolate the variable term.
2 + 3m - 2 = 17 - 2
3m = 15
(Used the subtraction property of equality)
Step 2: Divide both sides of the equation by 3 to solve for m.
3m / 3 = 15 / 3
m = 5
(Used the division property of equality)
Therefore, the solution to the equation 2 + 3m = 17 is m = 5.
Now, let's move on to solving the equation 19 = h/3 - 8:
Step 1: Add 8 to both sides of the equation to isolate the variable term.
19 + 8 = h/3 - 8 + 8
27 = h/3
(Used the addition property of equality)
Step 2: Multiply both sides of the equation by 3 to solve for h.
3 * 27 = h/3 * 3
81 = h
(Used the multiplication property of equality)
Therefore, the solution to the equation 19 = h/3 - 8 is h = 81.
Finally, let's solve the equation 0.6x + 0.8 = 1.4:
Step 1: Subtract 0.8 from both sides of the equation to isolate the variable term.
0.6x + 0.8 - 0.8 = 1.4 - 0.8
0.6x = 0.6
(Used the subtraction property of equality)
Step 2: Divide both sides of the equation by 0.6 to solve for x.
(0.6x) / 0.6 = 0.6 / 0.6
x = 1
(Used the division property of equality)
Therefore, the solution to the equation 0.6x + 0.8 = 1.4 is x = 1.
To solve the equation 2+3m=17 using inverse operations, follow these steps:
Step 1: Start by isolating the variable term by subtracting 2 from both sides of the equation:
2 + 3m - 2 = 17 - 2
3m = 15
Property used: Subtraction Property of Equality
Step 2: To isolate the variable, divide both sides of the equation by 3:
3m/3 = 15/3
m = 5
Property used: Division Property of Equality
Therefore, the solution to the equation 2+3m=17 is m = 5.
Now let's solve the equation 19=h/3-8 using inverse operations:
Step 1: Begin by isolating the term with h by adding 8 to both sides of the equation:
19 + 8 = h/3 - 8 + 8
27 = h/3
Property used: Addition Property of Equality
Step 2: To isolate h, multiply both sides of the equation by 3:
27 * 3 = (h/3) * 3
81 = h
Property used: Multiplication Property of Equality
Therefore, the solution to the equation 19=h/3-8 is h = 81.
Lastly, let's solve the equation 0.6x + 0.8 = 1.4:
Step 1: Begin by isolating the variable term by subtracting 0.8 from both sides of the equation:
0.6x + 0.8 - 0.8 = 1.4 - 0.8
0.6x = 0.6
Property used: Subtraction Property of Equality
Step 2: To isolate the variable, divide both sides of the equation by 0.6:
(0.6x)/0.6 = 0.6/0.6
x = 1
Property used: Division Property of Equality
Therefore, the solution to the equation 0.6x + 0.8 = 1.4 is x = 1.
You're welcome! If you have any more questions, feel free to ask.