Solve the system shown.

Mathematics

1 answer:

krek1111 [17]3 years ago

3 0

1. Rewrite the system:

x+12y=68 (i)
x=8y-12 (ii)

2. Let's substitute the equation (ii) into the equation (i):

x+12y=68
(8y-12)+12y=68

3. Then, you have:

8y-12+12y=68

4. When you clear "y", you have:

20y-12=68
20y=68+12
20y=80
y=80/20
y=4

5. You already have the value of "y". Now, you must substitute this value into the equation (ii):

x=8y-12
x=8(4)-12
x=32-12
x=20

6. Therefore, the result is:

x=20
y=4

You might be interested in

Consider a triangle formed by connecting the three points: (0 0 0), (1 0 0), (1 1 1). a. Find the vector which is perpendicular

Sidana [21]

Answer:

=k−j or (0 -1 1)

Step-by-step explanation:

The Vector or Outer Product two vectors, say →x&→y, is

denoted by →x×→y, is a perpendicular vector to the plane containing them.

The given pts. A (0 0 0), B (1 0 0), C (1 1 1) lie in a

plane ABC.

As suchType equation here., the vectors (→(AB ) )and (→AC ) are members, ∈ of the plane ABC

That is □(→(AB )×(→AC)) to the plane ABC

(→(AB ) )=(1-0,0-0,0-0)=(1,0,0)

(→(AC ) )=(1-0,1-0,1-0)=(1,1,1)

(→(AB )×(→AC= (0i -j k)

=k−j

Which is in the positive Z direction

3 0

3 years ago

What two numbers add up to 6 and multiply to 12?

GuDViN [60]

Erm

x+y=6
xy=12

x+y=6
y=6-x
sub back

xy=12
x(6-x)=12
6x-x^2=12
x^2-6x=-12
x^2-6x+12=0
quadratic formula
for
ax²+bx+c=0
$x= \frac{-b+/- \sqrt{b^2-4ac} }{2a}$

for
x²-6x+12=0
a=1
b=-6
c=12
and remember that √-1=i

$x= \frac{-(-6)+/- \sqrt{(-6)^2-4(1)(12)} }{2(1)}$
$x= \frac{6+/- \sqrt{36-48} }{2}$
$x= \frac{6+/- \sqrt{-12} }{2}$
$x= \frac{6+/- (\sqrt{-1})(\sqrt{12}) }{2}$
$x= \frac{6+/- (i)(2\sqrt{3}) }{2}$
$x= \frac{6+/- 2i\sqrt{3} }{2}$
x=3+/-i√3

the numbers are 3+i√3 and 3-i√3
no real numbers tho

7 0

3 years ago

If the Alpha company is 79% staffed and the Beta company is only 62% staffed, what is the relative change of staffing from the A

sweet [91]

Answer:

27.41%

Step-by-step explanation:

Data provided in the question

The staffed of Alpha company = 79%

The staffed of Beta company = 62%

Based on the above information, the relative change of staffing from Alpha to beta company is

As we know that