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mr Goodwill [35]
3 years ago
9

What is the solution to the system of equations? y = 2x – 3.5 x – 2y = –14

Mathematics
2 answers:
Fofino [41]3 years ago
8 0

Answer:

C.(7, 10.5)

Step-by-step explanation:

we have the system of equations

--------> equation

--------> equation

Multiply by  equation

--------> equation

Adds equation   and equation

Find the value of y

the solution of the system is the point

which means

the answer is

C. (7, 10.5)

Citrus2011 [14]3 years ago
7 0
Reorganize the equations;
y  -2x   = -3.5
-2y+x = -14
Multiplying equation II by 2
y-2x    =   -3.5
-4y+2x= -28
----------------
-3y=24.5
y= \frac{24.5}{-3}
y= -8.17
Replacing value of y in equation 2;
-2(-8.17)-2x=-3.5
16.34-2x=-3.5
16.34+3.5=2x
19.84=2x
x=9.92
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Please help me out with this so I can keep my kitten.
notka56 [123]

Answer:

y = \frac{32}{3}

Step-by-step explanation:

Firstly, move over the negative 3/4 fraction (don't forget to swap the operation i.e subtract to add):

\frac{y}{8} = \frac{7}{12}  + \frac{3}{4}

Now, to add the two fractions, simply multiply the numerator and denominator by 3:

\frac{3*3}{4*3} = \frac{9}{12}

Now add this to the other fraction:

\frac{9}{12} + \frac{7}{12} = \frac{16}{12}

This can be simplified down by dividing both the numerator and denominator by 4:

\frac{4}{3}

Which now simplifies the original equation to:

\frac{y}{8}  = \frac{4}{3}

Remove the y out of the fraction:

\frac{1}{8}y = \frac{4}{3}

Now multiply both sides by 8:

(\frac{1}{8}y) * 8 = (\frac{4}{3}) * 8

y = \frac{4*8}{3}

y = \frac{32}{3}

Hope this helps!

5 0
3 years ago
Read 2 more answers
What is the average of 140, 130, 144, 145, 130?
diamong [38]
The average is 137.8.
8 0
3 years ago
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HELP PLEASE PLEASE!!!!!!!!
iren2701 [21]

Answer:

The measure of the third angle is equal to 34°

Step-by-step explanation:

Given that,

The measure of angle 1 is 50°.

The measure of angle 2 is 96°

We need to find the measure of the third angle. We know that the sum of angles of a triangle is equal to 180°. So,

x+50+96=180

x+146=180

x = 180-146

x = 34°

So, the measure of the third angle is equal to 34°.

8 0
3 years ago
PLS HELP ASAP calculate the distance between the two points. (18, -24) & (87, 100)
GarryVolchara [31]

Answer:

<h3>The answer is 141.90 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(18, -24) & (87, 100)

The distance between them is

d =  \sqrt{ ({18 - 87})^{2} +  ({ - 24 - 100})^{2}  }  \\  =  \sqrt{ ( { - 69})^{2}  + ( { - 124})^{2} }  \\  =  \sqrt{4761 + 15376}  \\  = \sqrt{20137}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\  = 141.90489773...

We have the final answer as

<h3>141.90 units</h3>

Hope this helps you

5 0
3 years ago
4 If 2 sin X = 1 (where X is the measure of an acute angle), then X =
Papessa [141]
X = arcsin (1/2) = 30 degrees
6 0
3 years ago
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