4x+1 = 2x+7
4x-2x = 7-1
2x = 6
x= 6/2
x= 3
Answer:
x= 23
y=7
Step-by-step explanation:
x-y=16
4y-5=x
4y-5-y=16
3y-5=16 add 5 to both sides
3y=21 divide by 3 on both sides
y=7
x-7=16 substitute back in
x=23 added 7 to both sides
so x=23 and y=7
23-7=16
Answer:
The lines are parallel
Step-by-step explanation:
If they have no solution that means that they never intersect which akes them parallel
Answer:
x ≥ 20
Step-by-step explanation:
hope this helps!
Answer: the cost of one package of macadamia nut chip cookie dough is $1.5
the cost of one package of triple chocolate cookie dough is $2.5
Step-by-step explanation:
Let x represent the cost of one package of macadamia nut chip cookie dough.
Let y represent the cost of one package of triple chocolate cookie dough.
Mrs. Julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $112.50. This means that
25x + 30y = 112.5 - - - - - - - - - - - - -1
Mrs. Castillejo’s class sold 8 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $124.50. This means that
8x + 45y = 124.5 - - - - - - - - - - -2
Multiplying equation 1 by 8 and equation 2 by 25, it becomes
200x + 240y = 900
200x + 1125 = 3112.5
Subtracting, it becomes
- 885y = - 2212.5
y = - 2212.5/- 885
y = 2.5
Substituting y = 2.5 into equation 1, it becomes
25x + 30 × 2.5 = 112.5
25x + 75 = 112.5
25x = 112.5 - 75 = 37.5
x = 37.5/25 = 1.5
The method used is the elimination method. It is more convenient to use.
