Question

Solve for x and y using method of subsititution y=6x-11
-2x-3y=-7
show ur work

Answer 1

x=2, y=1

Explanation:

Given:

y=6x-11

-2x-3y=-7

Substitute y in 2nd equation:

-2x-3y=-7

-2x-3(6x-11)=-7

-2x-18x+33=-7

-20x+33=-7

-20x=-40

x=2

Substitute x in 1st equation:

y=6x-11

y=6(2)-11

y=12-11

y=1

Answer 2

Answer: (2, 1)

Explanation:

y=6x-11...(1)

-2x-3y=-7...(2)

Subsitute (1) into (2)

-2x-3y=-7

-2x-3(6x-11)=-7

-2x-18x+33=-7

-20x=-40

x=2

Subsitute x=2 into (1)

y=6x-11

y=6(2)-11

y=1

Therefore, the solution of the system is the ordered pair (2, 1)