In the figure above, there are two variables to solve and they are x and y. This kind of system is called system of linear equations with 2 variables.
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Solve real world problems with a system of linear equations
A burger place sells burgers (b) for $4, and fries (f) for $2. If bob bought six items for a total of $18, how many did he buy of each?
Solution …
Solving system of linear equations by substitution
y = 2x
x + y = 21
Replace y = 2x into the second equation.
we get:
x + 2x = 21
we get
3x = 21
divide both sides of the equation by …
Solve a system of linear equations to find the cost of a cd
Andrew had $93.00. With this money, he could buy 3 CDs and 4 books. However, he bought only 2 CDs and 3 books and had $27.00 left. What was the cost …
Solving an Age Problem with a System of Linear Equations
The sum of Mira and Shaheena is 40 years. After 10 years Mia will be twice as old as Shaheena. What is Mia's age. What is Shaheena's age?
Solution …
Solving a word problem with 3 unknowns using a linear equation
Amanda, Henry, and Scott have a total of $89 in their wallets. Amanda has $6 less than Scott. Henry has 3 times what Scott has. How much does each have? …
Write and solve a system of linear equations to find the length and the width of a rectangle
The perimeter of a rectangle is 138 inches. The length exceeds the width by 65 inches. Find the length and width.
Solution
P = 2l + 2w
l = w …
Age and system of linear equations
Alvin's age is three times Elga's age. The sum of their ages is " 40 ". What is Elga's age?
Let x be Alvin's age
Let y be Elga's age
x + y = …
Rectangle word problem
The length of a rectangle is 5 more than the width and the area is 24. Find the length and the width.
Solution
The formula of the area of a rectangle …
Story word Problem: linear equation
A salesperson earns $200 per week in base pay plus one-twentieth of his/her dollar sales volume. Find the salesperson’s dollar sales volume if he/she …
Solving a system of linear equations when the lines are parallel
Find the value of k so that the two given lines will be parallel.
3X-KY=7
2X+5Y=-1
First, put the two equations in standard form
3X - KY = 7 …
Selling lemonade word problem
Sasha and Francisco were selling lemonade for 25 cents per half cup and 50 cent per full cup. At the end of the day they had collected 17 dollars and had …
Mixture word problem
A scientist wants to dilute a 60% acid solution by adding some 20% solution. If she starts with 80 ml of the 60% solution, how many milliliters of the …
Solve a simple system with five equations Not rated yet
The sum of four numbers a, b, c, and d is 68. If we increase a by 7, we get x. If we increased b by 8, we get x. If we decrease c by 15, we get 2x.If we …
Speed word problem Not rated yet
A truck left a depot at noon traveling an average speed of 40 kilometers per hour. How far from the depot and what time will it overtake another truck, …
Apartment Word Problem Not rated yet
In an apartment building some apartments have a one bedroom and the rest have two bedrooms if there are a total of 50 apartments and 80 bedrooms how many …
Find each side of a triangle Not rated yet
The perimeter of a triangle is 58 centimeters. The longest side is 2 centimeters less than the sum of the other two sides. Twice the shortest is 12 centimeters …
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