Solve each system of linear equations algebrically.

is my answer right or wrong

Step-by-step explanation:

The given system of equations is expressed as

y = 3x - - - - - - - - - - - - -1

2y = 6x - - - - - - - - - - - - -2

Dividing the left hand side and the right hand side of equation 2 by 2, it becomes

y = 3x - - - - - - - - - - - - -3

Subtracting equation 3 from equation 1, it becomes

0 = 0

The system of equations has infinitely many solutions because whatever values of x and y that would satisfy the first equation would also satisfy the second equation.

Your answer is right because you substituted equation 1 into equation 2.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form