He school store is running a promotion on school supplies. Different supplies are placed on two shelves. You can purchase 3 items from shelf A and 2 from shelf B for $26, or
You can purchase 2 items from shelf A and 5 from shelf B for $32.
Let x represent the cost of an item from shelf A and let y represent the cost of an item from shelf B. Write and solve a system of equations to find the cost of items from shelf A and shelf B. Show your work and thinking!

You can use those variables specified to make symbolic relation between the cost and number of items. Then you can use any of the methods to solve the obtained system of equations.

The cost of items from shelf A is x = $6

The cost of items from shelf B is y = $4

Given that:

x represents the cost of an item from shelf A

y represents the cost of an item from shelf B

From given data, we have:

Or, we get the system of equations as:

Substituting this value of y in second equation, we get:

Using this value of x, we get:

Thus, we have:

The cost of items from shelf A is x = $6

The cost of items from shelf B is y = $4

Learn more about system of linear equations here:

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Shelf A = $6 ;Shelf y = $4

Step-by-step explanation:

Let :

x = cost of items from shelf A

y = cost of items from shelf B

3x + 2y = 26 - - - - (1)

2x + 5y = 32 - - - - (11)

Using elimination method :

Multiply (1) by 2 and (11) by 3

6x + 4y = 52 - - - (111)

6x + 15y = 96 - - - (1V)

Subtract (1V) from (111)

-11y = - 44

y = 44/ 11 ; y = 4

Put y = 4 in (1)

3x + 2(4) = 26

3x + 8 = 26

3x = 26 - 8

3x = 18

x = 18 / 3

x = 6

24: 56

step-by-step explanation:

24 can be divided into 3 and 56 can be divided into 7, where as all the other ratios can't.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form