first multiply the outside numbers by both the numbers in the ()
10xg=10g 10x5=50 2xg=2g 2x9=18
then combine like terms
10g+50=2g+18
8g=32
then divide
g=4
Answer:
A) 1:4
Step-by-step explanation:
#We first calculate the campus' area:
#We then calculate the campus' map area in square ft:
Ratio is a comparison between two dimensions:
Hence, the ratio of the area in square miles of the campus to the area in square feet of the map is 1:4
Multiply top equation by -2, then add equations so b drops out....solve for a...plug in a to get b
Answer:
x = 6.39, y = 1.69 is the solution of the given equation system.
Step-by-step explanation:
Here, the given set of equation is:
5 x = 15 + 10 y ⇒ 5 x - 10 y = 15 ...... (1)
3 x +7 y = 31 ............. (2)
Now, the coefficient of x in first equation id 5 and in second is 3.
So, MULTIPLY (1) with 3 and (2) with -5 , we get:
15 x - 30 y = 45
-15 x- 35 y = -155
<u>ADD BOTH EQUATIONS ,</u> we get:
15 x - 30 y -15 x- 35 y = 45 - 155
or, -65 y = -110
or, y = 110/65 = 1.69
Put y = 1.69 in 3 x +7 y = 31 , we get:
3(x) + 7 (1.69) =31
⇒ 3 x = 19.17 or x = 6.39
Hence, x = 6.39, y = 1.69 is the solution of the given equation system
