Someone please help me thank you

x = 8 and y = 10

Step-by-step explanation:

The given equations are :

2x -y  = 6 (1)

-9x + 3y = -42 (2)

Multiply eqation (1) by 3.

6x - 3y = 18 (3)

Adding equation (2) and (3).

-9x + 3y + 6x - 3y = -42 +18

-3x = -24

x = 8

Put the value of x in equation (1).

2(8) -y  = 6

16 - 6 = y

y = 10

Hence, the values of x and y are 8 and 10 respectively.

16

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