Question

The dinosaur's tail bones are at the solution point to the system of equations below.

–2x – 7y = –250
4x – y = 140
Every time you click a point using the CPS, the equations below will update. Remember, the solution is the point that makes both equations true.
–2( 1 ) – 7( 36 ) = -254 X
4( 1 ) – ( 36 ) = -32 X

Answer 1

x = 41

y = 24

Explanation:

Systems of equations is,

-2x - 7y = -250 ------(1)

4x - y = 140 ------(2)

Equation (1) multiplied by 2 then added to equation (2)

-4x -14y = -500

(+) 4x - y = 140

-15y = -360

y =

y = 24

by putting y = 24 in equation (2),

4x - 24 = 140

4x = 140 + 24

x =

x = 41

For x = 41 and y = 24 both the equations are true.

Equation (1), -2(41) - 7(24) = -250 [True]

Equation (2), 4(41) - (24) = 140 [True]

Explanation: