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KATRIN_1 [288]
4 years ago
12

Solve the system by graphing. (Enter your answers as a comma-separated list. If the system is inconsistent, enter INCONSISTENT.

If the system is dependent, enter DEPENDENT.) x + y = 6 x − y = 2

Mathematics
1 answer:
seraphim [82]4 years ago
6 0

Answer:

(4,2). DEPENDENT

Step-by-step explanation:

As each equation consist on two variable, both can be represented graphically on a cartesian plane. First, each expression is rewritten in explicit form:

y = 6 - x (red line) and y = x - 2 (blue line)

By the resource of graphing software, the solution is (4,2). The representation is presented below as attachment. As solution exists, both expression are linearly DEPENDENT.

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If x varies directly with y and y is 10 when x is 8, what is x when y is 18?
swat32
Knowing that x varies directly with y, we know the basic skeleton of the equation is y = mx. 

To find m, plug in the known coordinate (8,10), where the x-coordinate is 8 and the y-coordinate is 10.
y=mx \\ 10=m8 \\ (10)/8=(8m)/8 \\ m= \frac{10}{8} = \frac{5}{4}

Then, plug in m to the equation to get y = (5/4)x.

Finally, plug in the y-coordinate 18 to the equation and solve for x!
y= \frac{5}{4}x \\ 18= \frac{5}{4}x \\  \frac{4}{5}(18)=( \frac{5}{4}x) \frac{4}{5} \\ x= \frac{4*18}{5}  \\  x= \frac{72}{5}

Your exact answer is x = 72/5. However, if your teacher prefers decimals, then x = 14.4

Hope this helps!
5 0
3 years ago
Read 2 more answers
Solve for x. 9 4 13.5 x+4
Lady_Fox [76]

Answer:

x = 2

Step-by-step explanation:

The parallel lines divide the transversals into proportional segments, that is

\frac{x+4}{13.5} = \frac{4}{9} ( cross- multiply )

9(x + 4) = 54 ( divide both sides by 9 )

x + 4 = 6 ( subtract 4 from both sides )

x = 2

5 0
3 years ago
PLAESE HELP ASAP!!!!
vovikov84 [41]
11 5/8 + 9 1/2= 21 1/8
3/4 - 2/5= 7/20
4 5/6 - 2 1/2= 2 1/3
I think these are right, I apologize if they are wrong.
5 0
3 years ago
Read 2 more answers
Sarah starts with $375 in her savings account. After getting a part-time job, she deposits $90 every week. Write an equation sho
Valentin [98]

Answer:

y = 375 + 90x is the equation

4 0
3 years ago
What is the equation of the following graph?
nignag [31]

Answer:

{y}^{2}  = 24x

Step-by-step explanation:

This is horizontal parabola.

It has a directrix at x=-6.

The vertex is (0,0).

The focus is (6,0)

The equation of this parabola is of the form

{y}^{2}  = 4px

Where (p,0) is the focus

By comparison, p=6

Therefore the equation of the parabola is

{y}^{2}  = 4 \times 6x

This implies that

{y}^{2}  =2 4 x

6 0
4 years ago
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