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

)

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: