X= cost per cherry pie
y= cost per pumpkin pie
NICOLE
1x + 9y= $60
LISA
11x + 4y= $90
STEP 1
multiply Nicole's equation by -11
-11(1x + 9y)= -11($60)
multiply -11 by all terms
(-11 * x) + (-11 * 9y)= (-11 * 60)
-11x - 99y= -660
STEP 2
add Nicole's new equation from step 1 to Lisa's equation to solve for y (using the elimination method)
-11x - 99y= -660
11x + 4y= 90
the x terms "cancel out"
-95y= -570
divide both sides by -95
y= $6 per pumpkin pie
STEP 3
substitute y value into either original equation to solve for x
x + 9y= $60
x + 9(6)= 60
x + 54= 60
subtract 54 from both sides
x= $6 per cherry pie
CHECK
11x + 4y= $90
11(6) + 4(6)= 90
66 + 24= 90
90= 90
ANSWER: Each cherry pie costs $6 and each pumpkin pie costs $6.
Hope this helps! :)
Okay so we need to figure out the width of the swimming pool using the length, and we know the width is 10 ft shorter than twice the width. I believe the easiest way to do this would be to first do 35-10, and then divide it in half. That gives us 12.5. To check our work I'll do the problem 12.5+12.5+10=35.
The width of the swimming pool is 12.5 ft.
Answer:
The answer would not be A. It is B
Step-by-step explanation:
Because you are subtracting the equations, on the right side of the equal sign, you are subtracting -5 from 7. This is 7-(-5), which is equal to 7+5=12, not -12.
Answer:
no solution
Step-by-step explanation:
the given equation have no solution from the options
Answer:
20x^2−2x−6
Step-by-step explanation:
(4x+2)(5x+−3)
=(4x)(5x)+(4x)(−3)+(2)(5x)+(2)(−3)
=20x2−12x+10x−6
=20x2−2x−6