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Natalka [10]
2 years ago
11

Solve the simultaneous equations 3x+y=172 x+y=12​

Mathematics
1 answer:
viktelen [127]2 years ago
7 0

9514 1404 393

Answer:

  (x, y) = (80, -68)

Step-by-step explanation:

Subtract the second equation from the first.

  (3x +y) -(x +y) = (172) -(12)

  2x = 160 . . . . . . . . . simplify

  x = 80 . . . . . . . . . divide by 2

  y = 12 -x = 12 -80 = -68 . . . . . find y from the second equation

The solution is (x, y) = (80, -68).

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Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 -3 2 -9 3 -15 4 -21
aleksley [76]

Answer:

The numbers:

1, -3, 2, -9, 3, -15, 4, -21,

are not linear.

Step-by-step explanation:

If it was linear:

4, 3, 2, 1, -3, -9, -15, -21

8 0
3 years ago
HELP PLSSS I DONT REMEMBER!!
Tatiana [17]

Answer:

8x-31 = 2x+92

Step-by-step explanation:

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8x-31 = 2x+92

8 0
3 years ago
What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?
HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points \left (x_{1},y_{1} \right ) and \left (x_{2},y_{2}\right )

Since from the graph the two points closest to the line are\left ( 10,36 \right ) and \left ( 22,12 \right ).

Equation of line with two points closest to the line :

                                                    y-y_{1}=m\cdot \left ( x-x_{1} \right )

where m is the slope.

First we find the slope(m)=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}  

m=\frac{12-36}{22-10}

on simplify we get,  m=-2.

Now, to find  the equation of the line:  y-y_{1}=m\cdot \left ( x-x_{1} \right )

y-36=\left ( -2 \right )\cdot \left ( x-10 \right )

Apply distributive property on right hand side, we get

y-36=-2\cdot x+20

Adding both sides by 36, we get

y=-2x+20+36

y=-2x+56.

The equation for the linear  model in the scatter plot obtained by the two closest point \left ( 10,36 \right ) and \left ( 22,12 \right ) closest to the line is,

y=-2x+56










7 0
3 years ago
Read 2 more answers
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Eva8 [605]

Step-by-step explanation:

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3 0
3 years ago
3.) What is the diameter and circumference of a circle given the area is 16
denis-greek [22]

Answer:

D =4.51 and the

Area is=16

7 0
3 years ago
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