Question

Instructions: Find the solution for each of the linear equations. Once you have finished the activity, scan it and send it through the Virtual Platform. a) 3x-8 +3= -3x -1 b) 2/3 m+4 - 2m = 1/2-1/3 m c) 3a – 18 a + 3 = -5 +a d) (a+3)/2= (3a - 7)/3 e) 3(n+3) = 2n (3 - 1 ) Send it through the Virtual Platform. Remember that the file must be named: Last Name_First Name_E_Linear_equations_with_one_unknown

266

likes
1330 views

Answer to a math question Instructions: Find the solution for each of the linear equations. Once you have finished the activity, scan it and send it through the Virtual Platform. a) 3x-8 +3= -3x -1 b) 2/3 m+4 - 2m = 1/2-1/3 m c) 3a – 18 a + 3 = -5 +a d) (a+3)/2= (3a - 7)/3 e) 3(n+3) = 2n (3 - 1 ) Send it through the Virtual Platform. Remember that the file must be named: Last Name_First Name_E_Linear_equations_with_one_unknown

Expert avatar
Brice
4.8
113 Answers
a)

3x - 8 + 3 = -3x - 1

Combine like terms:

3x - 5 = -3x - 1

Add $3x$ to both sides:

6x - 5 = -1

Add $5$ to both sides:

6x = 4

Divide by $6$:

x = \frac{4}{6} = \frac{2}{3}

b)

\frac{2}{3}m + 4 - 2m = \frac{1}{2} - \frac{1}{3}m

Combine like terms:

-\frac{4}{3}m+4=\frac{1}{2}-\frac{1}{3}m

Subtract $4$ from both sides:

-\frac{4}{3}m+\frac{1}{3}m=\frac{1}{2}-4

Convert $4$ to fraction:

-m=\frac{1}{2}-\frac{8}{2}

Simplify:

-m=-\frac{7}{2}

m=\frac{7}{2}

Frequently asked questions (FAQs)
What is the median of a set of numbers {3, 6, 9, 12, 15, 18}?
+
What are the solutions to the cubic equation x^3 + 2x^2 - 5x - 6 = 0?
+
Math Question: What is the derivative of f(g(x)) using the Chain Rule? (f and g are differentiable functions)
+
New questions in Mathematics
A person who weighs 200 pounds on earth would weigh about 32 pounds on the moon. Find the weight of a person on earth who would weigh 15 pounds on the moon.
58+861-87
A brass cube with an edge of 3 cm at 40 °C increased its volume to 27.12 cm3. What is the final temperature that achieves this increase?
In a store there are packets of chocolate, strawberry, tutti-frutti, lemon, grape and banana sweets. If a person needs to choose 4 flavors of candy from those available, how many ways can they make that choice?
What is the r.p.m. required to drill a 13/16" hole in mild steel if the cutting speed is 100 feet per minute?
find x in the equation 2x-4=6
I need to know what 20% or £3292.75
Lim x → 0 (2x ^ 3 - 10x ^ 7) / 5 * x ^ 3 - 4x )=2
Suppose that you use 4.29 g of Iron in the chemical reaction: 2Fe(s) + 3 Cu2 + (aq) 2Fe 3 + (aq) + 3Cu(s ) - . What is the theoretical yield of Cu (s), in grams?
You are the newly appointed transport manager for Super Trucking (Pty) Ltd, which operates as a logistics service provider for various industries throughout southern Africa. One of these vehicles is a 4x2 Rigid Truck and drawbar trailer that covers 48,000 km per year. Use the assumptions below to answer the following questions (show all calculations): Overheads R 176,200 Cost of capital (% of purchase price per annum) 11.25% Annual License Fees—Truck R 16,100 Driver Monthly cost R 18,700 Assistant Monthly cost R 10,500 Purchase price: - Truck R 1,130,000 Depreciation: straight line method Truck residual value 25% Truck economic life (years) 5 Purchase price: Trailer R 370,000 Tyre usage and cost (c/km) 127 Trailer residual value 0% Trailer economic life (years) 10 Annual License Fees—Trailer R 7,700 Fuel consumption (liters/100km) 22 Fuel price (c/liter) 2053 Insurance (% of cost price) 7.5% Maintenance cost (c/km) 105 Distance travelled per year (km) 48000 Truck (tyres) 6 Trailer (tyres) 8 New tyre price (each) R 13,400 Lubricants (% of fuel cost) 2.5% Working weeks 50 Working days 5 days / week Profit margin 25% VAT 15% Q1. Calculate the annual total vehicle costs (TVC)
Use a pattern to prove that (-2)-(-3)=1
9 x² + 2x + 1 = 0
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
What is the value of f(-3) for the function X squared+5x-8=
Calculate the change in internal energy of a gas that receives 16000 J of heat at constant pressure (1.3 atm) expanding from 0.100 m3 to 0.200 m3. Question 1Answer to. 7050J b. 2125J c. None of the above d. 2828J and. 10295 J
Solve for B write your answer as a fraction or as a whole number. B-1/7=4
7- A printing company found in its investigations that there were an average of 6 errors in 150-page prints. Based on this information, what is the probability of there being 48 errors in a 1200-page job?
Sally’s sales for last Sunday were $1,278. That was an increase of 6.5% over her sales for the previous Saturday. What were her sales for the previous Saturday?
5a-3.(a-7)=-3
Question 3 A square has a perimeter given by the algebraic expression 24x – 16. Write the algebraic expression that represents one of its sides.