Question

Solve using elimination -3x=16y+33, 11y-3x=18

Answer 1

Answer:

Rewrite equations:

−3x=16y+33;−3x+11y=18

Step: Solve−3x=16y+33for x:

−3x=16y+33

−3x

−3

=

16y+33

−3

(Divide both sides by -3)

x=

−16

3

y−11

Step: Substitute

−16

3

y−11forxin−3x+11y=18:

−3x+11y=18

−3(

−16

3

y−11)+11y=18

27y+33=18(Simplify both sides of the equation)

27y+33+−33=18+−33(Add -33 to both sides)

27y=−15

27y

27

=

−15

27

(Divide both sides by 27)

y=

−5

9

Step: Substitute

−5

9

foryinx=

−16

3

y−11:

x=

−16

3

y−11

x=

−16

3

(

−5

9

)−11

x=

−217

27

(Simplify both sides of the equation)

Answer:

x=

−217

27

and y=

−5

9

 

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

-3x=16y+33

16y+3x=-33

11y-3x=18

add

27y=-15

divide by 3

9y=-5

y=-5/9

$16 *(-\frac{5}{9} )+3x=-33\\-80+27x=-297\\27x=-297+80\\27x=-217\\x=-\frac{217}{27} =-8\frac{1}{27}$