Answer:
{x,y} = {5,8}
Step-by-step explanation:
[1] 7x-3y+5=16
[2] 4y=3x+17
[1] 7x - 3y = 11
[2] -3x + 4y = 17
// Solve equation [2] for the variable y
[2] 4y = 3x + 17
[2] y = 3x/4 + 17/4
// Plug this in for variable y in equation [1]
[1] 7x - 3•(3x/4+17/4) = 11
[1] 19x/4 = 95/4
[1] 19x = 95
// Solve equation [1] for the variable x
[1] 19x = 95
[1] x = 5
// By now we know this much :
x = 5
y = 3x/4+17/4
// Use the x value to solve for y
y = (3/4)(5)+17/4 = 8
Slope = (y2 - y1) / (x2 - x1)
(0,4)...x1 = 0 and y1 = 4
(-8,-1)...x2 = -8 and y2 = -1
now we sub and solve
slope = (-1 - 4) / (-8 - 0) = -5/-8 = 5/8 <=
Answer:
x = -2.
Step-by-step explanation:
9^(x - 8) = 3^(4x - 12)
9 = 3^2 so we can write:-
3^2(x - 8) = 3^(4x - 12)
Since the base 3, is the same:-
2(x - 8) = 4x - 12
2x - 16 = 4x - 12
2x - 4x = -12 + 16
-2x = 4
x = -2
Answer: $10,114.41
Step-by-step explanation:
A = P(1 + r/n)^nt
Split it up
3x^2+12x-5x-20
group
(3x^2+12x)+(-5x-20)
factor
(3x)(x+4)+(-5)(x+4)
undistribute (x+4) like ab+ac=a(b+c)
(3x-5)(x+4)