First you solve for y.
5x+ y= 12 so Y= 12-5x
And plug it into the next equation
3x- 3(12-5x) = 18
Distribute
3x-36+15x=18
Add 36 to both sides
3x+ 15x= 54
18x= 54 ... divide
x= 3
And you can plug in x to solve for Y
5(3) + y = 12
15+ y = 12 ...subtract 15 from both sides
y= -3
Answer:
The correct answer is neither.
Step-by-step explanation:
To find the relationship between the lines, find the slope of each. You can do this by using the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (4 - 1)/(4 - -8)
m = 3/12
m = 1/4
Now do so for the second line.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-3 - -7)/(9 - -9)
m = 4/18
m = 2/9
Since they are not the same and not opposite/reciprocal, then we know they are neither parallel nor perpendicular.
Let
be the line given by the vector equation
.
First, we use the director vectors of the lines L1 and L2 to get the
vector equation of the plane containing them, which we denote by
. This is,

We observe that
. Therefore, the vector equation of
defines a plane and
is a normal vector to 
Finally, the vector equation for the wanted plane, which we denote by
, is
Thus, if
, then
and since
is parallel to
, then it is perpendicular to
.
The best way to work this to add the two numbers of the ratio together (8+5), giving you 13. You should then divide the total number of cards (78), by this, giving you 6. This means that each part of the ratio is worth 6. The first ratio is 8, meaning that you will have 6x8 baseball cards. There will be 48 baseball cards. The second ratio is 5, meaning that you will have 6x5 football cards. There will be 30 football cards.
In the box, there are 48 baseball cards