<span>3y = x + 6
y – x = 3 -----------> x=y - 3 (substitute in 1st equation)
3y = y - 3 +6
3y - y = 3
2y = 3
y = 2/3
x= y - 3 = 2/3 -3 = 2/3 - 9/3 = - 7/3
</span>x= - 7/3, y = 2/3<span>
</span>
Answer:
See proof below
Step-by-step explanation:
show that
sinx/1+cosx=tanx/2
From LHS
sinx/1+cosx
According to half angle
sinx = 2sinx/2 cosx/2
cosx = cos²x/2 - sin²x/2
cosx = cos²x/2 - (1- cos²x/2)
cosx = 2cos²x/2 - 1
cos x + 1 = 2cos²x/2
Substitute into the expression;
sinx/1+cosx
= (2sinx/2 cosx/2)/2cos²x/2
= sinx.2/cos x/2
Since tan x = sinx/cosx
Hence sinx/2/cos x/2 = tan x/2 (RHS)
This shows that sinx/1+cosx=tanx/2
Answer:
x(x-4)
Step-by-step explanation:
Answer:
m= masters degree salary and b=bachelors degree salary.
m = 2b - 45000
m + b = 112000
Substitute to get
2b - 45000 + b = 112000
3b = 156000
b = 52000
So m = 59000
Check to see if these numbers work
59000 = 2*52000 - 45000 true
59000 + 52000 = 112000 true
Step-by-step explanation:
