X − 4y = 7
5x + 9y = 6
5x − 20y = 35 //1st * 5
5x + 9y = 6
5x +9y - 5x + 20y = 6 - 35 //2nd - 1st
5x + 9y = 6
29y=-29
5x=6-9y
y=-1 //1st : 29
5x=6-9*(-1)
y=-1
x=15:5 //2nd : 5
y=-1
x=3
check:
for x=3 and y=-1 there is:
x − 4y = 7 is 3 − 4*(-1) = 7 is 7=7 ok
5x + 9y = 6 is 15-9=6 is 6=6 ok
answer: (3;-1) represents the solution.
Answer:
B) h(x) = –2x + 200
Step-by-step explanation:
f(x) = 3x + 400
g(x) = 5x + 200
f(x) - g(x) = 3x + 400 - (5x + 200) = -2x + 200
Answer:
G(x,y)=(-4,0)
Step-by-step explanation:
We use the section formula:

Given:

We substitute the values to get:

Answer:
Steps below
Step-by-step explanation:
The value depends on which angle is B, suppose ∠B is the opposite angle of side length 7
sin B = 7/25
cos B = 24/25
tan B = 7/24
if ∠B opposite to side length of 24
sin B = 24/25
cos B = 7/25
tan B = 24/7