Question

Please help!! Question is in the picture

Answer 1

Answer: (5,8)

Step-by-step explanation:

So this is a matter of using a system of linear equations

To start if a total of 13 people got a ticket then we know that

x+y=13

x and y being explained in the problem

then if adult tickets are $40 and children tickets are $20 and the total cost is 360 we can set up the next equation

40x+20y=360

If you were to plug in 1 lets say into x that means that 1 person bought a ticket for $40 this shown by 40 (1) this is the same premise for the childrens tickets.

now we have

x+y=13

40x+20y=360

now we can solve by eliminating one of the variables this is done by either getting rid of the x or y and solving for the other. I solved for the y value first this looks like

-40(x+y=13)

40x+20y=360

Distribute the -40 to each value

giving you

-40x-40y=-520

40x+20y=360

add these together from the top down

the x's cancel leaving

-20y=-160

then isolate the y value by dividing both sides by -20

-20y/-20=-160/-20

leaving you with your y point

y=8

This is how many childrens rickets were sold now we can plug into the first linear equation

x+8=13

now easy subtration to isolate the x point

x+8-8=13-8

x=5

Finally leaving you with point (5,8)

Answer 2

The answer is point (5, 8)