y = x^2 + 5x -3
y-x =2
Replace y in the second equation with the first one:
x^2 + 5x -3 - x = 2
Simplify by combining like terms:
x^2 + 4x -3 = 2
Subtract 2 from both sides:
x^2 + 4x -5 = 0
Fctor the polynomial:
(x-1) (x+5) = 0
Solve for both X's:
x = 1 and x = -5
Now replace x in the second equation with both value and solve for y:
y -1 =2, y = 3
y - -5 =2, y +5 = 2, y = -3
Now combine the sets of answers:
(1,3) and (-5,-3)
Answer:
A
Step-by-step explanation:
Check the solution by substituting x = 
into the left side of the equation
2sin²x - sinx - 1
= 2sin²( ) - sin ( ) - 1
= 2(1)² - 1 - 1
= 2 - 1 - 1
= 0
= right side
is therefore a solution to the equation
Answer:
Zabato is thinking of 6
Step-by-step explanation:
I first set it up as an equation based on the word problem you have given me
(n + 10)3 = 8n
Distribute the 3
3n + 30 = 8n
Isolate n
3n - 8n +30 - 30 = 8n - 8n - 30
-5n = -30
-5n/-5 = -30/-5
n = 6
To check replace 6 with n
(6 + 10)3 = 8 (6)
(16)3 = 48
48 = 48
