Answer:
3/8
Step-by-step explanation:
.
Answer: (2, 5)
Step-by-step explanation:
y = 2x + 1 y = 4x − 3
Eliminate the equal sides of each equation and combine.
2x + 1 = 4x − 3
Solve 2x + 1 = 4x − 3 for x.
Move all terms containing x to the left side of the equation.
Subtract 4x from both sides of the equation.
2x + 1 − 4x = −3
Subtract 4x from 2x.
−2x + 1 = −3
Move all terms not containing x to the right side of the equation.
Subtract 1 from both sides of the equation.
−2x = −3 − 1
Subtract 1 from −3.
−2x = −4
Divide each term by −2 and simplify.
x = 2
Evaluate y when x = 2.
Substitute 2 for x. y = 4 (2) − 3
Simplify 4 (2) − 3.
Multiply 4 by 2.
y = 8 − 3
Subtract 3 from 8.
y = 5
The solution to the system is the complete set of ordered pairs that are valid solutions.
(2, 5)
The result can be shown in multiple forms.
Point Form:
(2, 5)
Equation Form:
x = 2, y = 5
Given:
Let baked beans be x
Let brown sugar be y
Let biscuits be z
5x + 4y + 2z = 150 - 26
5x + 4y + 2z = 124
a can of baked beens costs half as much as a packet of biscuits:
x = 1/2 * z = z/2
a packet of sugar is 3.00 cheaper than a packet of biscuits
y = z - 3
We substitute x and y with its values:
5x + 4y + 2z = 124 ; x = z/2 ; y = z-3
5(z/2) + 4(z-3) + 2z = 124
5z/2 + 4z - 12 + 2z = 124
5z/2 + 6z = 124 + 12
2(5z/2 + 6z) = 2(136)
5z + 12z = 272
17z = 272
z = 272/17
z = 16 price of a packet of biscuits.
can of baked beans : x = z/2 ; x = 16/2 = 8
packet of sugar : y = z - 3 ; y = 16 - 3 = 13
5x + 4y + 2z = 124
5(8) + 4(13) + 2(16) = 124
40 + 52 + 32 = 124
124 = 124
Answer:
c
Step-by-step explanation: