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IRISSAK [1]
3 years ago
15

The solution to the system equations

Mathematics
1 answer:
katovenus [111]3 years ago
3 0

Let's solve this system of equations through substitution.

We have these two equations.

-7x-2y=14

6x+6y=18

Now let divide the second equation by 6.

6x+6y=18 ---->   x+y=3

Next, let us move y to the right side of the equation.

x+y=3 -------> x=3-y (x equals 3-y)

Because we found out that what x is in terms of y, we can input that in for every instance of x in this equation below.

-7x-2y=14 becomes -7(3-y)-2y=14 (Why? Because x equals 3-y!)

We have a one variable equation now and can solve for y.

-7(3-y)-2y=14

-21+7y-2y=14

5y=35

y=7

Plug in 7 for y in any equation to find x.

x+y=3

x+7=3

x=-4

answer: x=-4, y=7

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300 pounds of oranges were purchased at $0.24 per pound. The desired markup is 50% based on selling price, but 21% spoilage is e
andrezito [222]
1. The problem indicates that 300 pounds of oranges were purchased at $0.24 per pound, so the cost is:
 
 300x$0.24=$72
 
 2. A percent of 21% spoilage is expected, which means that 89% of 300 pounds of oranges left, is:
 
 300x0.89=267 pounds of oranges
 
 3. We want to calculate the selling price per pound of 267 pounds of oranges, so let's call this value "x":
 
 Markup %=(Markup/cost)x100
 
 Markup=267x-72
  
 4. The desired markup, based on selling price, is 50%. So, when we substitute the values, we obtain:
 
 (267x-72/72)x100=50
 
 5. Let's clear the "x":
 
 (26700x-7200/72)=50
 26700x-7200=50x72
 26700x-7200=3600
 26700x=3600+7200
 x=10800/26700
 x=$0.40
 x=40 cents
 
 What should the selling price per pound be?
 
 The answer is: 40 cents or $0.40
8 0
4 years ago
What is an equivalent expression to 7x + 56
klasskru [66]
It would be equivalent to x=8
5 0
3 years ago
I need a answer as soon as possible
alekssr [168]

Answer:

67

Step-by-step explanation:

Because 180-113 is 67.

8 0
3 years ago
Read 2 more answers
Question 1
sammy [17]

someone with wealth without health is nobody

Step-by-step explanation:

when someone that is wealthy didn't give birth d Husband would say they should adopt a child or he should marry another wife

7 0
3 years ago
Can someone pls finish this for me, ill give brainliest
dolphi86 [110]

Answer:

dependent variable: circles drawn

independent: time

the independent variable is what you control, which was the time spent. the amount of circles you were able to draw <em>depended</em> on the amount of time you had, so it was the dependent variable.

part 2:

if you drew circles at the same rate

0-0

1-29

2-58

3-87

4-116

hope that helped! lemme know if you need more

8 0
3 years ago
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