Question

Where to Dig: You now know that the dinosaur's ribs and arms are at the solution to the system of equations below. Solve the system and find the fossil! Y = 0.5x + 3.5 y = –0.75x + 37.25

Answer 1

x = 27 and y = 17 is the solution the the given pair of equations.

Number of dinosaur's rib = x = 27

Number of dinosaur's arm = y = 17

Explanation:

We are given the following equations:

`y = 0.5x + 3.5 \\y = -0.75x + 37.25`

The dinosaur's ribs and arms are the solution to the system of given equations.

Solving the equations, we have:

`y = 0.5x + 3.5 \\y = -0.75x + 37.25\\\Rightarrow 0.5x = 3.5 = -0.75x + 37.25\\\Rightarrow 1.25x = 33.75\\\Rightarrow x = 27\\\Rightarrow y = (0.5)27 + 3.5\\\Rightarrow y = 17`

Thus, x = 27 and y = 17 is the solution the the given pair of equations.

Number of dinosaur's rib = x = 27

Number of dinosaur's arm = y = 17