(1) 2 of one step equations

x - 23 = 8
x - 23 + 23 = 8 + 23
x = 31

n + 2 = 9
n + 2 - 2 = 9 - 2
n = 7

(2) 2 equations with fractions

3/4 (x + 3) = 9
4 [ 3/4 (x + 3) ] = 4[9]
3 (x + 3) = 36
3x + 9 - 9 = 36 - 9
3x/3 = 27/3

1/3 x 3/4
cross multiply
so 3/12 and simplify which makes it
1/4

(3) distributive property

3(2 + 4) = (3 • 2) + (3 • 4)
3(6) = 6 + 12
18 = 18

4 0

2 years ago

Write an equation for a line that is parallel to 2x+5y=15 and passes through the point (-10, 3)

Lyrx [107]

Answer:

The equation of the line is,

$y = - \frac{2}{5} x - 1$

Step-by-step explanation:

First, you have to write it in a form of y = mx + b :

$2x + 5y = 15$

$5y = 15 - 2x$

$y = 3 - \frac{2}{5} x$

$y = - \frac{2}{3} x + 5$

When both lines are parallel to each other, they will have to same gradient value. So the equation of the line is y = (-2/5)x + b. Next, you have to find the value of b by substutituting (-10,3) into the equation :

$y = - \frac{ 2}{5}x + b$