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guajiro [1.7K]
3 years ago
7

Solve the following system of equations. 9x + 4y = 4 -5x + 7y = 7

Mathematics
2 answers:
enyata [817]3 years ago
7 0

Answer:

this is the answer with steps

hope it helps!

ale4655 [162]3 years ago
5 0

Answer:

The solution is:

(0, 1)

Step-by-step explanation:

We have the following equations

9x + 4y = 4

-5x + 7y = 7

To solve the system multiply by \frac{9}{5} the second equation and add it to the first equation

-5*\frac{9}{5}x + 7\frac{9}{5}y = 7\frac{9}{5}

-9x + \frac{63}{5}y = \frac{63}{5}

9x + 4y = 4

---------------------------------------

\frac{83}{5}y=\frac{83}{5}

y=1

Now substitute the value of y in any of the two equations and solve for x

9x + 4(1) = 4

9x +4 = 4

9x = 4-4

9x = 0

x=0

The solution is:

(0, 1)

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Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
Sergeu [11.5K]
Hello!

First of all we find the slope by dividing the difference of the y values by the difference of the x values as seen below.

\frac{-3-11}{1+3} = -\frac{14}{4} = \frac{7}{2}

The slope of our line is 7/2, or 3.5
-------------------------------------------------------------
Now we will put the slope and a point on our line into slope intercept form and solve for b. We will use (-3,11).

11=3.5(-3)+b
11=10.5+b
b=0.5

Our final equation is shown below.

y=3.5x+0.5

I hope this helps!


7 0
3 years ago
Read 2 more answers
Self storage center is a storage room that is 8 feet long 6 feet wide and 10 feet high what is the volume of the room
Cerrena [4.2K]

Answer:

480 cubic feet

Step-by-step explanation:

Given length of self storage = 8 feet

width of self storage = 6 feet

height of self storage = 10 feet.

Volume of rectangular object is calculated by formula

volume = length * width * height

substituting the value of  length , width and  height of  self storage room in above formula we have

volume of self storage room = 8 * 6* 10 cubic feet= 480 cubic feet

4 0
3 years ago
7th grade math.<br> Solve.<br><br> 9.4 = - t/3.5<br><br> t =
Naya [18.7K]

Answer:

t = - 32.9

Step-by-step explanation:

Step 1:

9.4 = - t ÷ 3.5  Equation

Step 2:

9.4 × 3.5 = - t  Isolate the variable

Step 3:

32.9 = - t   Multiply

Answer:

t = - 32.9  

Hope This Helps :)

7 0
3 years ago
4 + 3 + 7 to the 3rd power
bagirrra123 [75]
4+3=7 7+7=14 14*14=196 196*14=2744, sooo it's 2744

8 0
3 years ago
Read 2 more answers
Simplify
Alexandra [31]

Answer:

b

Step-by-step explanation:

u just have to think about it

5 0
3 years ago
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