What is the value of x4 + 5.2y, when x = 2 and y = 3? (10 point) Question 12 options: 1) 23.6 2) 24.6 3) 27.6 4) 39.6
2 answers:
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Answer:
Given System of equation:
x-y =6 .....,[1]
2x-3z = 16 ......[2]
2y+z = 4 .......[3]
Rewrite the equation [1] as
y = x - 6 .......[4]
Substitute the value of [4] in [3], we get
Using distributive property on LHS ( i.e, )
then, we have
2x - 12 +z =4
Add 12 to both sides of an equation:
2x-12+z+12=4+12
Simplify:
2x +z = 16 .......[5]
On substituting equation [2] in [5] we get;
2x+z=2x -3z
or
z = -3z
Add 3z both sides of an equation:
z+3z = -3z+3z
4z = 0
Simplify:
z = 0
Substitute the value of z = 0 in [2] to solve for x;
or
2x = 16
Divide by 2 both sides of an equation:
Simplify:
x= 8
Substitute the value of x =8 in equation [4] to solve for y;
y = 8-6 = 2
or
y = 2
Therefore, the solution for the given system of equation is; x = 8 , y = 2 and z =0
If we let x and y represent the prices of adult and child tickets, respectively, then we can write two equations based on the daily sales.
8x +5y = 108
x +14y = 67
A graphing calculator shows the solution of these equations to be
(x, y) = (11, 4)
The price of an adult ticket is $11.
The price of a child ticket is $4.
8x +5y = 108
x +14y = 67
A graphing calculator shows the solution of these equations to be
(x, y) = (11, 4)
The price of an adult ticket is $11.
The price of a child ticket is $4.