Algebra

Solving Equations

Solving Equations: Level 1 Challenges

         

Find the total weight of the three animals.

{x4+5y=6x2y2+5x=6 \large \begin{cases} {x^4 + 5y = 6 } \\ {x^2 y^2 + 5x = 6 } \end{cases}

Solve the system of equations above.

x+y=55xy=27 \large x + y = 55 \\ \large x - y = 27

If xx and yy satisfy the equations above, find the value of the larger variable.

A frog is at the bottom of a 78 meter well. Each day he leaps 4 meters up the well. At night, while he is asleep, he slips 2 meters backwards.

How many days does it take him to escape from the well?


Note: The frog escapes from the well once he climbs up a total of 78 meters.

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