Question

What is the solution of system? -4x-2y=-2. 2x+4y=-12

Please hurry

Answer 1

$y = - \frac { 13} {3}$

Answer 2

Answer:

Solving for x

Add

4

x

4x to both sides

−

2

y

=

−

2

.

2

x

+

4

y

+

4

x

−2y=−2.2x+4y+4x

2 Simplify

−

2

.

2

x

+

4

y

+

4

x

−2.2x+4y+4x to

1

.

8

x

+

4

y

1.8x+4y

−

2

y

=

1

.

8

x

+

4

y

−2y=1.8x+4y

3 Subtract

4

y

4y from both sides

−

2

y

−

4

y

=

1

.

8

x

−2y−4y=1.8x

4 Simplify

−

2

y

−

4

y

−2y−4y to

−

6

y

−6y

−

6

y

=

1

.

8

x

−6y=1.8x

5 Divide both sides by

1

.

8

1.8

−

6

y

1

.

8

=

x

−

​1.8

​

​6y

​​ =x

6 Simplify

6

y

1

.

8

​1.8

​

​6y

​​  to

3

.

3

3

3

3

3

3

y

3.333333y

−

3

.

3

3

3

3

3

3

y

=

x

−3.333333y=x

7 Switch sides

x

=

−

3

.

3

3

3

3

3

3

y

x=−3.333333y

Solving for y

Add

4

x

4x to both sides

−

2

y

=

−

2

.

2

x

+

4

y

+

4

x

−2y=−2.2x+4y+4x

2 Simplify

−

2

.

2

x

+

4

y

+

4

x

−2.2x+4y+4x to

1

.

8

x

+

4

y

1.8x+4y

−

2

y

=

1

.

8

x

+

4

y

−2y=1.8x+4y

3 Subtract

4

y

4y from both sides

−

2

y

−

4

y

=

1

.

8

x

−2y−4y=1.8x

4 Simplify

−

2

y

−

4

y

−2y−4y to

−

6

y

−6y

−

6

y

=

1

.

8

x

−6y=1.8x

5 Divide both sides by

−

6

−6

y

=

−

1

.

8

x

6

y=−

​6

​

​1.8x

​​

6 Simplify

1

.

8

x

6

​6

​

​1.8x

​​  to

0

.

3

x

0.3x

y

=

−

0

.

3

x

y=−0.3x