Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $8.50. ari buys 3 pounds of apples and 2 pounds of bananas for a total of $5.25. determine a system of equations that represents the given the situation.

Price for :

apple : $1.25

banana : $0.75

One variable linear equation is an equation that has a variable and the exponent number is one.

Can be stated in the form:

or

ax + b = c, where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

x, y = variable

In this equation system there are coefficients and variables whose solutions can use:

1. substitution

2. elimination

3. graph

4. mix

Steps for completion with the substitution method:

       1. change one of the equations to the form y = ax + b or x = ay + b

2. substitution the value of x / y to another equation

         3. solve the equation

4. substitution results from point 3 in one equation

Lydia buys 5 pounds of apples and 3 pounds of bananas for a total of $ 8.50

We express it in algebraic form

5A + 3B = 8.5 equation 1

Ari buys 3 pounds of apples and 2 pounds of bananas for a total of $ 5.25

We express it in algebraic form

3A + 2B = 5.25 equation 2

From equation 1 and 2, e use elimination and substitution

1. elimination

5A + 3B = 8.5   x 2

3A + 2B = 5.25 x 3

10A + 6B = 17

9A + 6B = 15.75

------------------------

A = 1.25

2. substitution

5A + 3B = 8.5 equation 1

5(1.25) + 3B = 8.5

B = 0.75

the substitution method

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The work of a student to solve a set of equations

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