10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:
{y = -2 x - 2
{16 x + 6 = -2
in the second equation, look to solve for x:
{y = -2 x - 2
{16 x + 6 = -2
subtract 6 from both sides:
{y = -2 x - 2
{16 x = -8
divide both sides by 16:
{y = -2 x - 2
{x = -1/2
substitute x = -1/2 into the first equation:
{y = -1
{x = -1/2
collect results in alphabetical order:
answer: {x = -1/2 , y = -1
Answer from: Quest
x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)
step-by-step explanation:
formula
x = x1 + p/w(x2 - x1)
let the line segment ab with a(x1,y1) and b(x2,y2)
a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as
x = x1 + p/w(x2 - x1)
here p=2 and w = 2+3
therefore,
x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)
similarly y coordinate y = y1 + 2/5(y2 - y1)
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