All categories

2 years ago

Solve the simultaneous equations: 5x - 3y = 12 2x - y = 5

Mathematics

2 answers:

yKpoI14uk [10]2 years ago

6 0

5x - 3y = 12

2x - y = 5 so y = 2x - 5

5x - 3(2x - 5) = 12

5x - 6x + 15 = 12

-x = 12 - 15

-x = -3

x =3

y = 2x - 5

y = 2(3) - 5

y = 6 - 5

y = 1

solutions (3,1)

stich3 [128]2 years ago

6 0

5x-3y=12
2x-y=5
I am going to use substitution method
2x-y=5 5x-3y=12 25/2-25/2-1/2=12-25/2
2x-y+y=5+y 5(5/2+y/2)-3y=12 -1/2y=-1/2
2x/2=5/2+y/2 25/2+5y/2-3y=12 -1/2y /-1/2=-1/2 /-1/2
x=5/2+y/2 25/2-1/2=12 y=1
Therefore y=1
5x-3y=12 5x-3(1)=12 5x-3=12 5x-3+3=12+3 5x =15 5x/5=15/5 x=3
Therefore x=3 and y=1

You might be interested in

Match the correct word with it's definition

Hunter-Best [27]

Answer:

Rule by a small group : Oligarchy

Rule by Citizens : Democracy

Rule by No one Anarchy

Rule by king or Queen : Monarchy

6 0

3 years ago

find the cost of a car using the installment plan if the down payment is $1,500 and the monthly payments are $385 for 4 years, s

Blizzard [7]

Well, if this is assuming there is no tax on the vehicle and it is fully paid off by the end of the payments, an equation can be set up like the following. 385x+1500=C, x being months and C being total cost. 385(12*4)+1500= C, 385(48)+1500=C, 18480+1500=C, 19980=C.

8 0

3 years ago

On a test, you earn 92% of the possible points by correctly answering 6 five-point questions and 8 two-point questions. How many

olya-2409 [2.1K]

Step-by-step explanation:

(6×5)+(8×2)=46

92℅=46points

100℅=x

criss cross

92℅x=46

92℅. 92℅

and this is the answer

8 0

3 years ago

Read 2 more answers

Find the measure of each interior angle

diamong [38]

$\bf \textit{sum of all interior angles of a polygon}\\\\
180(n-2)\quad 
\begin{cases}
n=\textit{number of sides}\\
---------\\
n=10
\end{cases}\implies 180(10-2)\implies 1440\\\\
-------------------------------\\\\
\begin{array}{lclll}
&x + 5\\&x + 10\\&x + 20\\&x + 30\\&x + 35\\&x + 40\\&x + 60\\&x + 70\\&x + 80\\+&x + 90\\
&----\\
&10x+440
\end{array}\implies 
\begin{array}{llll}
10x+440=1440
\\\\\\
10x=1000
\\\\\\
x=\cfrac{1000}{10}\implies x=100
\end{array}$

so.. to get every angle, simply plug in 10 for "x" for each.

3 0

2 years ago

Tiffany makes scarves and sells them at a neighborhood

Phoenix [80]

n(30-14)-25=100
16n=125
n=7.8125 scarves a day, or 8 scarves a day must be sold, in order to make a profit of at least $100.!

I hope this helps!

4 0

3 years ago