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777dan777 [17]
3 years ago
15

Solve 4x + y = 19 3x-2y =6

Mathematics
2 answers:
Elenna [48]3 years ago
8 0

Answer:

point form (4,3)

equation form x=4,y=3

Step-by-step explanation:

trapecia [35]3 years ago
5 0

Answer:

Slope = 63

 x-intercept = 2/63 = 0.03175

 y-intercept = 2/-1 = -2.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x+y-(193*x-2*y-6)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  -189x + 3y + 6  =   -3 • (63x - y - 2)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   63x-y-2  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  63x-y-2  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/-1 so this line "cuts" the y axis at y=-2.00000

 y-intercept = 2/-1  = -2.00000

Calculate the X-Intercept :

When y = 0 the value of x is 2/63 Our line therefore "cuts" the x axis at x= 0.03175

 x-intercept = 2/63  =  0.03175

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -2.000 and for x=2.000, the value of y is 124.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 124.000 - (-2.000) = 126.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope     = 63

Geometric figure: Straight Line

 Slope = 63

 x-intercept = 2/63 = 0.03175

 y-intercept = 2/-1 = -2.00000

Processing ends successfully

plz mark me as brainliest :)

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