jim and carina have jobs buying and selling pet lizards. Jim sold 10 geckos and 8 iguanas for a profit of $122.00. Carina sold 9 geckos and bought 8 iguanas for a profit of $11.00. Find the price of one gecko and an iguana, using the addition method for solving systems.

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calculista calculista · Answer 1 · 2020-01-17T21:15:39+01:00

Answer:

The price of one gecko is $7.00 and the price of one iguana is $6.50

Step-by-step explanation:

Let

x ----> the price of one gecko

y ----> the price of one iguana

we know that

Jim

[tex]10x+8y=122.00[/tex] ----> equation A

Carina

[tex]9x-8y=11.00[/tex] ----> equation B

Note: the coefficient of y is negative because Carina bought 8 iguanas

Solve the system by addition

Adds equation A and equation B

[tex]10x+8y=122.00\\9x-8y=11.00\\----------\\10x+9x=122.00+11.00\\19x=133.00\\x=7.00[/tex]

Find the value of y

substitute the value of x in any equation

[tex]10(7.00)+8y=122.00[/tex]

[tex]70.00+8y=122.00[/tex]

[tex]8y=122.00-70.00[/tex]

[tex]8y=52.00[/tex]

[tex]y=6.50[/tex]

therefore

The price of one gecko is $7.00 and the price of one iguana is $6.50