Considering the definition of an equation and the way to solve it, the equation of line representing the amount of cloth left after she makes x shirts is y= 24 -2x and Jessie can make 12 shirts using the entire amount of cloth she has.
Definition of equation
An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.
The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.
To solve an equation, keep in mind:
- When a value that is adding, when passing to the other member of the equation, it will subtract.
- If a value you are subtracting goes to the other side of the equation by adding.
- When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.
- If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.
This case
Being "x" the amount of cloth Jessie makes, and knowing that:
- She has 24 meters of cloth.
- She uses 2 meters of cloth to make one shirt.
the equation in this case is:
y= 24 -2x
If y is 0 means the entire amount of cloth she has were used. Replacing:
0= 24 -2x
Solving:
-24= -2x
(-24)÷ (-2)= x
12= x
Finally, the equation of line representing the amount of cloth left after she makes x shirts is y= 24 -2x and Jessie can make 12 shirts using the entire amount of cloth she has.
Learn more about equations with this problems:
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