Answer:
x = 
Step-by-step explanation:
Since l bisects PQ at M then M is the midpoint of PQ, hence
PM = MQ, that is
5x - 7 = 11 - 2x ( add 2x to both sides )
7x - 7 = 11 ( add 7 to both sides )
7x = 18 ( divide both sides by 7 )
x = 
Answer: D
Step-by-step explanation:
Answer:
y = -(4/5)x + 7
Step-by-step explanation:
recall that the point-slope form of a linear equation is given as
y - y₁ = m (x - x₁)
in our case, we are given
slope, m = -4/5
and a point (x₁, y₁) = (5,3)
hence we simply substitute these values into the equation
y - y₁ = m (x - x₁)
y - 3 = -(4/5) (x - 5) (we will simplify this to convert to slope-intercept form)
y - 3 = -(4/5) (x) - (-4/5)(5)
y - 3 = -(4/5)x +4 (add 3 to both sides)
y = -(4/5)x +4 +3
y = -(4/5)x + 7
Answer:
(-3,-1)
Step-by-step explanation:
you can solve this by using elimination.
make the first equation in terms of x by adding 5y to each side and dividing by 2. this will give you x= 2.5y - 0.5.
now substitute this equation into the second one. this will give you:
-3(2.5y - 0.5) + 2y = 7
you solve this for y which will give you y = -1
now that you have the y value you can substitute this in the first equation to get: 2x - 5(-1) = -1
you solve this for x which will give you x = -3
You need to add 5x instead of subtracting it on both sides