<h2>Plastic Beads = $0.50</h2><h2>Metal Beads = $0.75</h2><h2 />
p = Plastic Beads
m = Metal Beads
Equations:
7p + 5m = 7.25
9p + 3m = 6.75
Make one pair of coefficients the same:
3 * (7p + 5m = 7.25) = 21p + 15m = 21.75
5 * (9p + 3m = 6.75) = 45p + 15m = 33.75
Remove that coefficient;
(45p + 15m) - (21p + 15m) = 33.75 - 21.75
(45p - 21p ) + ( 15m - 15m) = 33.75 - 21.75
24p = 12
24p / 24 = 12 / 24
<h3><u>p = 0.5</u></h3><h3 />
Substitute the result into one of the original equations.
(7 * 0.5) + 5m = 7.25
Rearrange to find the missing value:
7.25 - (7 * 0.5) = 5m
7.25 - 3.5 = 3.75
5m = 3.75
5m / 5 = 3.75 / 5
<h3><u>m = 0.75</u></h3>
Answer:
Television = $200 and DVD player = $450
Step-by-step explanation:
→ Make 2 equations
Televisions = t and DVD players = d
2t + 3d = 1750
4t + d = 1250
→ Multiply the bottom equation by 3 to make the same variable of d
2t + 3d = 1750
12t + 3d = 3750
→ Minus the two equations to isolate the d variable
-10t = -2000
→ Divide both sides by -10 to find the cost of one television
t = 200
→ Substitute t = 200 back into 4t + d = 1250
800 + d = 1250
→ Minus 800 from both sides to isolate d
d = 450
You can use substitution or elimination method to solve. <em>I used substitution.</em>
2(1/2y + 5) + 3y = -14
y + 10 + 3y = -14
4y + 10 = -14
4y = -24
y = -6
x = 1/2y + 5 = 1/2(-6) + 5 = -3 + 5 = 2
x = 2, y = -6
Answer: A
Answer:
the last one: yes it can, because -4.5 lies to left of -3.5
Step-by-step explanation: