25 ! solve: negative 1/2 x + 2 = −x + 7 select one: a. 10 b. 5 over 2 c. 2 over 5 d. 20

A. 10

−1/2x+2=−x+7 Step 1

−1/2x+2+x=−x+7+x Step 2

1/2x+2=7 Step 3

1/2x+2−2=7−2 Step 4

1/2x=5 Step 5

2*(1/2x)=(2)*(5) Step 6

ANSWER: x = 10 Step 7

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