What is the solution to this system of equations?4x - 3y = -14 and x - 2y = -6

Step-by-step explanation:

See a solution process below:

Explanation:

Step 1) Solve the second equation for

x

:

2

x

−

2

y

=

18

2

x

−

2

y

+

2

y

=

18

+

2

y

2

x

−

0

=

18

+

2

y

2

x

=

18

+

2

y

2

x

2

=

18

+

2

y

2

2

x

2

=

18

2

+

2

y

2

x

=

9

+

y

Step 2) Substitute

(

9

+

y

)

for

x

in the first equation and solve for

y

:

4

x

+

3

y

=

−

13

becomes:

4

(

9

+

y

)

+

3

y

=

−

13

(

4

×

9

)

+

(

4

×

y

)

+

3

y

=

−

13

36

+

4

y

+

3

y

=

−

13

36

+

(

4

+

3

)

y

=

−

13

36

+

7

y

=

−

13

−

36

+

36

+

7

y

=

−

36

−

13

0

+

7

y

=

−

49

7

y

=

−

49

7

y

7

=

−

49

7

7

y

7

=

−

7

y

=

−

7

Step 3) Substitute

−

7

for

y

in the solution to the second equation at the end of Step 1 and calculate

x

:

x

=

9

+

y

becomes:

x

=

9

−

7

x

=

2

The solution is:

x

=

2

and

y

=

−

7

or

(

2

,

−

7

)

The solution is:

x

=

2

and  

y

=

−

7

 or

(

2

,

−

7

)

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions