Question

Estimate the solution to the system of equations.

You can use the interactive graph below to find the solution.
2x + 3y = 6
- 4x + 3y = 12

Answer 1

x=−1,y=2

3

2

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Explanation:

x=-1,y=2 2/3

Answer 2

D.
`x=-1, y=2(2)/(3)`

Explanation:

Solving for x:

2x+3y=6

Subtract 3y from both sides

2x= -3y+6

Subtract 6 from both sides

2x-6= -3y

-4x+3y=12

Subtract 3y from both sides

-4x= -3y+12

Subtract 12 from both sides

-4x-12= -3y

Combine equations:

-4x-12=2x-6

Add 4x to both sides

-12=6x-6

Add 6 to both sides

-6=6x

6x= -6

Divide both sides by 6

x= -1

Solving for y:

2x+3y=6

Subtract 3y from both sides

2x= -3y+6

-3y+6=2x

Multiply both sides by -1

3y-6= -2x

Multiply both sides by 2

6y-12= -4x

-4x+3y=12

Subtract 3y from both sides

-4x= -3y+12

-3y+12= -4x

Combine equations:

6y-12= -3y+12

Add 3y to both sides

9y-12=12

Add 12 to both sides

9y=24

Divide both sides by 9

y=
`2(2)/(3)`