By using elimination method the solution for the given equations 5x+6y=17 and -10x-9y= -43 are x=7 and y= -3.
Step-by-step explanation:
The given equations are,
..................................(1)
..............................(2)
Step:1
By elimination method,
Multiplying the equation (1) by 9 ( Eqn (1) × 9)
.................................(3)
Multiplying the equation (2) by -6 ( Eqn (2) × -6)
................................(4)
Step:2
Subtracting the Equations (3) and (4),
( - )
( ) + ( ) = ( )
( ) = ( )
Step:3
Substitute the x=7 in equation (1),
( 5 × 7 ) + ( ) = 17
= -18
= -3
Step:4
Check for solution,
Substitute the x and y values in Eqn (1),
( 5 × 7 ) + ( 6 × -3 ) = 17
( 35 ) - ( 18 ) = 17
17 = 17
Result:
The solution for the equations 5x+6y=17 and -10x-9y= -43 are x=7 and y= -3.
1 thousandth = 0.001
So 1 thousandth less than 2
= 2 - 0.001
= 1.999
Hope this helps!
3-5y= 2x
-5y= 2x-3
y= (-2/5)x + 3/5
y + 2 = (-2/5)(x + 3)
y + 2 = (-2/5)x - (6/5)
y + 10/5 = (-2/5)x - 6/5
y = (-2/5)x - 16/5 is the answer
Answer: p=-6.4
Step-by-step explanation: Move all terms not containing p to the right side of the equation.
Hope this helps you out!
Answer:144
Step-by-step explanation:v=l•w•h
Length= 12cm
Width=2cm
Height=6cm
Multiply them to get the volume.
V=144