Create a word problem that can be represented by the following system of equations. X + y = 50
2x + 4y = 120

Step-by-step explanation:

You run a train station that sells children tickets for 2 dollars and adult tickets for 4 dollars

The total tickets sold on Saturday was 50

The train station made 120

How many adult tickets and kid tickets did they sell?

(40 kids, 10 adults)

1.x=50-y

2.

2

x

+

4

y

=

120

Subtract

2

x

from both sides of the equation.

4

y

=

120

−

2

x

Divide each term by

4

and simplify.

Divide each term in

4

y

=

120

−

2

x

by

4

.

4

y

4

=

120

4

+

−

2

x

4

Cancel the common factor of

4

.

Cancel the common factor.

4

y

4

=

120

4

+

−

2

x

4

Divide

y

by

1

.

y

=

120

4

+

−

2

x

4

Simplify each term.

y

=

30

−

x

2

Step-by-step explanation:

not sure

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)