Elimination was used to solve a system of equations. one of the intermediate steps led to the equation 5x=20. which of the following systems could have led to this equation? 1. 3x+3y=24 -2x-3y=42. 5x+2y=20-5x-2y=-203.6x-y=15x+y=-54. x+y=53x-2y=10

The correct option is 4.

Step-by-step explanation:

1. 3x + 3y = 24 ..[1]

-2x - 3y = 4..[2]

Adding [1] and [2]:

x = 24 - 4 = 20

x = 20

The step , 5x = 20 was involved.

2. 5x + 2y = 20..[1]

-5x - 2y = -20..[2]

Adding [1] and [2]:

0 = 0

The step , 5x = 20 was involved.

3. 6x -y = 15 ..[1]

x + y = -5..[2]

Adding [1] and [2]:

7x = 10

x =

The step , 5x = 20 was involved.

4. x + y = 5 ..[1]

3x - 2y = 10..[2]

Adding 2 × [1] and [2]:

5x = 20

x = 4

The step , 5x = 20 was involved.

y=x+9

?

step-by-step explanation:

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