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3 years ago

Solve for x and y: x+y=5 x−y=a

Mathematics

1 answer:

9966 [12]3 years ago

5 0

Answer:

x=5/2 + a/2, y= 5/2 - a/2

Step-by-step explanation:

We can solve this system using addition of the equations

x+y=5

x-y=a

2x =(5+a)

x=(5+a)/2= 5/2 +a/2

x=5/2 +a/2

x-y=a

y = x - a , x=5/2 + a/2

y= 5/2 + a/2-a

y= 5/2 - a/2

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3 years ago

I need help on 4, 5, and 6.

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3 years ago

If the units for x are years, and x = 5 represents the year 2015, what is the y-value for 2010?

Darya [45]

Given:

The given graph passes through the points (-3,4) and (3,2)

The x - axis represents the years. The value x = 5, year 2015.

We need to determine the y - value for 2010.

Slope:

The slope of the line can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the points (-3,2) and (3,2), we get;

$m=\frac{2-4}{3+3}$

$m=\frac{-1}{3}$

Thus, the slope of the line is $m=\frac{-1}{3}$

y - intercept:

The y - intercept in the graph is the point in the line that crosses the y - axis.

Thus, from the graph, it is obvious that the y - intercept is b = 3.

Equation of the line:

The equation of the line can be determined using the formula,

$y=mx+b$

Substituting the values, we have;

$y=-\frac{1}{3}x+3$

Thus, the equation of the line is $y=-\frac{1}{3}x+3$

The y - value for 2010:

Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.

Hence, the value of x for 2010 is given by

$x=5-5=0$

Thus, x = 0 represents the year 2010.

To determine the y - value, let us substitute x = 0 in the equation $y=-\frac{1}{3}x+3$ , we have;

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3 years ago

Point D is 1/n of the way from C(−2.5, 1.25) to E(5, 15). What are the coordinates of D if n = 5?

prisoha [69]

The coordinate of point D will be ( -0.5, 0.25 ).

<h3>What is coordinate geometry?</h3>

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that point, D is 1/n of the way from C(−2.5, 1.25) to E(5, 15), and the value of n = 5.

The coordinates of point D will be:-

D = ( 1 / n ) C

D = ( 1 / n ) ( -2.5 , 1.25 )

D = ( 1 / 5 ) ( -2.5 , 1.25 )

D = ( -0.5 , 0.25 )

Therefore, the coordinate of point D will be ( -0.5, 0.25 ).

To know more about Coordinate geometry follow

brainly.com/question/18269861

#SPJ1

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