Answer:
Potato price = $1.5 / pound ; Carrot price = $1.75 / pound
Step-by-step explanation:
Let price of carrot per pound = c
Let price of potatoes per pound = p
Given :
2c + 3p = 8 (eqtn A)
4c + 4p = 13 (eqtn B)
Multiplying eqtn A by 2 ;
4c + 6p = 16
4c = 16 - 6p (eqtn Y)
By eqtn B ;
4c = 13 - 4p (eqtn Z)
By eqtn Y & Z ;
16 - 6p = 13 - 4p
16 - 13 = - 4p + 6p
3 = 2p
p = 3 /2
p = 1.5 [Potato price]
Putting p value in eqtn A
2c + 3 (1.5) = 8
2c + 4.5 = 8
2c = 8 - 4.5
2c = 3.5
c = 3.5 / 2
c = 1.75 [Carrot Price]
You just have to do subtraction...
5-2 = 3 more times
Answer: b. -2x+3y=12
Step-by-step explanation: the y intercept is 4, and the line intercepts the x- axis at -6. Therefore, the slope of the line is 4/6=2/3. The format for a linear equation is y=(slope)x+y intercept. So the equation would be y=2/3x+4. You can see that answer b simplifies to that. Add 2x from both sides of the equation and you get 3y=2x+12. Divide both sides of the equation by 3 and you get y=2/3x+4
