Answer:
y = 7
Step-by-step explanation:
Firstly multiply each and every term by 9
17/9 - y/3 = -4/9
; 17 - 3y = -4...then move the variabkes without (y) to one side,
; 21 = 3y....then divide both sides by 3
; 7 = y
;Hence..., y = 7
Okay, for this one I would use elimination:
8x+(-2y)-10
or
8x-2y=10
2x=4y
x=2y
8(2y)-2y=10
16y-2y=10
14y=10
y=5/7
x=10/7 or 1 3/7. Hope it help!
Answer:
3 pounds of peanuts and 2 pounds of cashews
Step-by-step explanation:
Let x be the pounds of peanuts and y be the pounds of cashews
Greta wants to make 5 pounds of a nut mix using peanuts and cashews.
So, ----- A
Cost of 1 pound of peanuts = $4
Cost of x pounds of peanuts = 4x
Cost of 1 pound of cashews = $9
Cost of y pounds of cashews = 9y
Her budget requires the mixture to cost her $6 per pound
So, cost of mixture of x pounds of peanuts and y pounds of cashews is 6(x+y)
So, --- B
Plot A and B
---Blue
---Green
Refer the attached figure
Intersection point = (x,y)=(3,2)
Hence she should use 3 pounds of peanuts and 2 pounds of cashews
Answer:
x = 0.75
Step-by-step explanation:
Simplifying
(7x + -5) + -1(3x + -2) = 0
Reorder the terms:
(-5 + 7x) + -1(3x + -2) = 0
Remove parenthesis around (-5 + 7x)
-5 + 7x + -1(3x + -2) = 0
Reorder the terms:
-5 + 7x + -1(-2 + 3x) = 0
-5 + 7x + (-2 * -1 + 3x * -1) = 0
-5 + 7x + (2 + -3x) = 0
Reorder the terms:
-5 + 2 + 7x + -3x = 0
Combine like terms: -5 + 2 = -3
-3 + 7x + -3x = 0
Combine like terms: 7x + -3x = 4x
-3 + 4x = 0
Solving
-3 + 4x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 3 + 4x = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 4x = 0 + 3
4x = 0 + 3
Combine like terms: 0 + 3 = 3
4x = 3
Divide each side by '4'.
x = 0.75
Simplifying
x = 0.75