What is the solution of the system of equations? y= -2x+8 y= x-4

Mathematics

2 answers:

Taya2010 [7]3 years ago

7 0

X=4, y=0 my answer is too short but I'm to lazy to type the whole pr0cess

Alinara [238K]3 years ago

4 0

We can solve by substituting x-4 for y in the first equation.
x-4 = -2x+8
3x = 12
x = 4

Then plug in 4 for x in one of the equations.
y = 4-4
y = 0
OR
y = -2(4)+8
y = -8+8
y = 0

So the solution is (4,0)

You might be interested in

Evaluate. Be smart, <br>(2.31∙5.82+4.18∙2.31+90∙2.31)÷2.31∙0.55

OverLord2011 [107]

= 2.31(5.82+4.18+90)/ 2.31*0.55
=2.31*100/ 2.31* 0.55
=1*100*0.55
=100*0.55
=55

4 0

3 years ago

A truck can at most be filled with 20 ton. If there are currently 14 ton goods there already, write an inequality representing t

Rom4ik [11]

Answer:

$x + 14 \leq 20$ , x = 6 ton

Step-by-step explanation:

The truck can be filled with a total of 20 ton.

There are already 14 ton inside the truck, so if we call x the weight of goods that we can still add into the truck, we know that (x+14) must be equal at most at 20. Therefore, the inequality becomes:

$x+14\leq 20$

Solving it, we find

$x\leq 6$

which means that the most amount of goods that could be added to the truck is 6 tons.

4 0

3 years ago

Write a proof that shows how 45 and 4.5 have a factor of 10

vovikov84 [41]

Answer:

When you move the decimal point one place to the left, you are moving the second by a factor of 10.

Step-by-step explanation:

3 0

3 years ago

Find the sum or difference: 2.8 - -5.1

Travka [436]

2.8-(-5.1)

-(-5.1)=5.1

2.8+5.1= 7.9

Is this what you were asking?

3 0

3 years ago

Read 2 more answers

if one Circle has a diameter of 10 cm and a second Circle has a diameter of 20 cm what is the ratio of the area of the larger ci

Oxana [17]

Area of a circle is πr^2.

The radius of the smaller circle with diameter 10 cm is 5 cm.

The radius of the larger circle with diameter 20 cm.is 10 cm.

Area of larger circle : Area of smaller circle

Area of larger circle = 100π.

Area of smaller circle = 25π.

Ratio = 100π : 25π or 100π/25π.

7 0

3 years ago