A baseball bat and a ball total cost is $8.50. A baseball bat is $3.00 more than the price of the ball. What is the price of the baseball bat and the price of the ball?
X + Y = Equation 1
X = Y +
The baseball bat is $3.00 more than the ball. Let X the price of baseball bat and Y the price of the ball.
Equation 2. Re-arranging the equation like as shown below.
X + Y = Equation 2
Answer, Price of the baseball bat,
X =
Answer, Price of the ball
Y =
To check your answer , substitute the value of X and Y in equation 1 and equation 2. Both answer must confirm they are correct or equal.
IMPORTANT to enter 1 if there is no constant on X and Y. For negative number enter the negative sign, for example, -1. Two simultaneous linear equation can be solved manually using
determinant of matrix 2x2 and Cramer's procedure. Because it is time consuming to solve this type of problem calculator or computer program was created to help us to solve similar problem quickly.
Graphical solution of two linear equations problem
converge or intersect or common point meaning single solution
Graphical solution of two linear equations problem, two line equations overlap with each other meaning infinite solution. This overlapping happens when you multiply line equation 1 by any number. In this example multiplied by 2
Graphical solution of two linear equations problem, two line equations parallel with each other meaning they will never intersect therefore this is no solution common to both line equation. This parallel circumstances happens when the constant value of "x" also called the slope, represented by variable letter m in line slope equation y = mx + b are both equal. In this example the constant value of x = 1.5 or the slope m = 1.5