# 2y 4x 2 ## what is y=4x-2 is equal to 3x+2y=-4? what is x and y?

y = 4x - 2

3x + 2y  =  -4

Substituting the value for y from the top equation into the bottom equation:

3x + 2(4x - 2)  =  -4

Solving:

Distributing the 2:                    3x + 8x - 4  =  -4

Adding the x-terms together:  11x - 4  =  -4

Adding 4 to both sides:           11x  = 0

Dividing by 11:                            x  =  0

Substituting 0 for x into the first equation:

y  =  4(0) - 2

y  =  -2

The solution to the set of equations is:  x = 0,  y = -2.

Sours: https://web2.0calc.com/questions/what-is-y-4x-2-is-equal-to-3x-2y-4-what-is-x-and-y Steps for Solving Linear Equation
Subtract 2y from both sides.
\frac{-4x}{-4}=\frac{2-2y}{-4}
Dividing by -4 undoes the multiplication by -4. Steps for Solving Linear Equation
The equation is in standard form.
\frac{2y}{2}=\frac{4x+2}{2}
Dividing by 2 undoes the multiplication by 2.

### Similar Problems from Web Search

Subtract 2y from both sides.
\frac{-4x}{-4}=\frac{2-2y}{-4}
Dividing by -4 undoes the multiplication by -4.
Sours: https://mathsolver.microsoft.com/en/solve-problem/2%20y%20-%204%20x%20%3D%202

## Properties of a straight line

### Rearrange:

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

2*y-(4*x-2)=0

### Step  1  :

#### Pulling out like terms :

1.1     Pull out like factors :

2y - 4x + 2  =   2 • (y - 2x + 1)

### Step  2  :

#### Equations which are never true :

2.1      Solve :    2   =  0

This equation has no solution.
A a non-zero constant never equals zero.

#### Equation of a Straight Line

2.2     Solve   y-2x+1  = 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  y-2x+1  = 0 and calculate its properties

#### Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -1/1 so this line "cuts" the y axis at y=-1.00000

y-intercept = -1/1 = -1.00000

#### Calculate the X-Intercept :

When y = 0 the value of x is 1/2 Our line therefore "cuts" the x axis at x= 0.50000

x-intercept = 1/2 = 0.50000

#### 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 -1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - (-1.000) = 4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 4.000/2.000 = 2.000

### Geometric figure: Straight Line

1.   Slope = 4.000/2.000 = 2.000
2.   x-intercept = 1/2 = 0.50000
3.   y-intercept = -1/1 = -1.00000
Sours: https://www.tiger-algebra.com/drill/2y=4x-2/
How To Factor Polynomials The Easy Way!

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## 2 2y 4x

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Differential Equations - First Order Homogeneous Equations

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