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.
Answer:
So angle 3 is congruent to angle 4 because they are both complimentary to 1 and 2.
By SAS, triangle SNM is congruent to triangle SNF.
By CPCTC, angle QMN is congruent to angle RFN.
By AAS, triangle QMN is congruent to RNF.
So by CPCTC, QM=RP
490/30 = 82
you simply just divide the two numbers to get slope
It’s 2 because it says that three teaspoons equal to one tablespoon so
6/3= 2
The awnser is
D. 6 and 10