Answer:
x = 4
y = 6
z = 5
Step-by-step explanation:
Let
bags of pecans = x
bags of walnuts = y
bags of almonds = z
x + y + z = 15
3x + 3.5y + 4z = 53
Two more bags of walnuts were sold than pecans.
Walnuts = x + 2
x + y + z = 15
3x + 3.5y + 4z = 53
x + x + 2 + z = 15
3x + 3.5(x+2) + 4z = 53
2x + z = 15 - 2
3x + 3.5x + 7 + 4z = 53
2x + z = 13 (1)
6.5x + 4z = 46 (2)
Multiply (1) by 4
8x + 4z = 52 (3)
6.5x + 4z = 46 (2)
Subtract (2) from (3)
8x - 6.5x = 52 - 46
1.5x = 6
Divide both sides by 1.5
x = 4 bags
y = x + 2
= 4 + 2
= 6
y = 6 bags
Substitute the value of x into (1)
2x + z = 13 (1)
2(4) + z = 13
8 + z = 13
z = 13 - 8
= 5
z = 5 bags
Check:
x + y + z = 15
4 + 6 + 5 = 15
Answer:
x= 22
y = 35
Step-by-step explanation:
The base angles of a isosceles triangle are equal
3x-11 = 2x+11
Subtract 2x from each side
3x-2x -11 = 2x-2x+11
x-11 = 11
Add 11 to each side
x-11+11 = 11+11
x = 22
The sum of all the angles in a triangle is 180
3x -11 + 2x+11 + 2y = 180
Combine like terms
5x +2y = 180
5*22 + 2y = 180
110 + 2y = 180
Subtract 110 from each side
110+2y-110 = 180-110
2y = 70
Divide by 2
2y/2 =70/2
y = 35
3 thats where all the negative x and y is located
