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emmainna [20.7K]
3 years ago
8

Solve this system of linear equations: 4x-2y=8 Y=3/2x-2

Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

x = 4 , y = 4

Step-by-step explanation:

Solve the following system:

{4 x - 2 y = 8 | (equation 1)

y = (3 x)/2 - 2 | (equation 2)

Express the system in standard form:

{4 x - 2 y = 8 | (equation 1)

-(3 x)/2 + y = -2 | (equation 2)

Add 3/8 × (equation 1) to equation 2:

{4 x - 2 y = 8 | (equation 1)

0 x+y/4 = 1 | (equation 2)

Divide equation 1 by 2:

{2 x - y = 4 | (equation 1)

0 x+y/4 = 1 | (equation 2)

Multiply equation 2 by 4:

{2 x - y = 4 | (equation 1)

0 x+y = 4 | (equation 2)

Add equation 2 to equation 1:

{2 x+0 y = 8 | (equation 1)

0 x+y = 4 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 4 | (equation 1)

0 x+y = 4 | (equation 2)

Collect results:

Answer: {x = 4 , y = 4

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Equation for ( 6, 13) ( 7900, 5 )
tia_tia [17]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

y=mx+b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

(x_ {1}, y_ {1}) :( 6,13)\\(x_ {2}, y_ {2}): (7900,5)

We find the slope of the line:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-13} {7900-6} = \frac {-8} {7894} = - \frac {4} {3947}

Thus, the equation of the line is of the form:

y = - \frac {4} {3947} x + b

We substitute one of the points and find b:

13 = - \frac {4} {3947} (6) + b\\13 = - \frac {24} {3947} + b\\13+ \frac {24} {3947} = b\\b = \frac {51335} {3947}

Finally, the equation is:

y = - \frac {4} {3947} x + \frac {51335} {3947}

Answer:

y = - \frac {4} {3947} x + \frac {51335} {3947}

5 0
3 years ago
A square on a coordinate plane has the points A(0, 0), B(0, 5), C(5, 5) and D(5, 0). If Square ABCD is rotated about the origin
Georgia [21]

Answer:

B. 5 units

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, dilation, rotation or translation.

If a point X(x,y) is rotated about the origin 180 degrees clockwise the new point is at X'(-x, -y).

If the square with vertices at A(0, 0), B(0, 5), C(5, 5) and D(5, 0) is rotated about the origin 180 degrees clockwise the new points are at A'(0, 0), B'(0, -5), C'(-5, -5), D'(-5, 0)

A square has four equal sides. The distance between two points X(x_1,y_1)\ and\ Y(x_2,y_2) is:

|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Hence:

|A'B'|=\sqrt{(0-0)^2+(-5-0)^2} =5

3 0
3 years ago
Please I really need help
viva [34]
You’re answer would be B
3 0
2 years ago
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What’s 3y to the power of 2 minus 2y
cricket20 [7]

Answer:

Step-by-step explanation:

5y 4 to the power

8 0
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4x + 1/2 (8x + 6) = 2(4x + 3)
inysia [295]

Answer:

No solution 0≠3

Step-by-step explanation:

simplify parenthesis:

4x+4x+3=8x+6

combine like terms:

8x+3=8x+6

subtract three from both sides

8x=8x+3

subtract 8x from both sides

0≠3

This equation has no solution

i hope this helps u, pls give brainliest i only need one more then i level up and a thx, leave a comment if i am wrong

5 0
3 years ago
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