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2 years ago

2x+y=3x-y= 1solve the equation

Mathematics

2 answers:

svetlana [45]2 years ago

4 0

Answer:

x = 4/3

y = 1/3

Step-by-step explanation:

System of equations! This is set up really well to make the second equation equal x then substitute.

x - y = 1

x = 1 + y

and then our substitution:

2 (1+y) + y = 3

and solve:

2 + 2y + y = 3

3y + 2 = 3

3y = 1

y = 1/3

And now we can substitute that value into one of our equations:

x - (1/3) = 1

x = 4/3

Next we should check by substituting these values into both of our equations:

2 (4/3) + (1/3) = 3

9 / 3 does equal 3 !

(4/3) - (1/3) does equal 1 !

Therefore, x = 4/3 , and y = 1/3

lubasha [3.4K]2 years ago

4 0

Answer: x = 4/3, y = 1/3

Explanation:

2x + y = 3
x - y = 1
=> x = 1 + y

2(1 + y) + y = 3
2 + 2y + y = 3
3y = 3-2
y = 1/3

x - 1/3 = 1
x = 3/3 + 1/3
x = 4/3

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A family of 2 adults and 3 children went out to dinner. The total bill was $42. Each child's dinner cost $4. How much did each a

Yanka [14]

Answer: Each adult’s meal costed $15

Step-by-step explanation:

This situation can be modeled by the following equation:

2a + 3c = 42, where a = the cost of an adult’s meal, and c = the cost of a child’s meal

Since we know from the problem that a child’s meal costs $4, we know c:

2a + 3(4) = 42

At this point, we can just solve the resulting equation for a:

2a + 3(4) = 42

= 2a + 12 = 42 (simplify 3(4))

= 2a = 30 (subtract 12 from both sides)

= a = 15 (divide both sides by 2)

So, the cost of each adult’s meal was $15.

8 0

1 year ago

Will give brainliest

Verdich [7]

I believe the correct answer is D

5 0

3 years ago

Question 1(Multiple Choice Worth 1 points)

Stolb23 [73]

so, they already used 4,885.78 this month, but whatever all five family members can use total for a month is 7,250.50, so since they already used 4,885.78, they have left 7,250.50 - 4,885.78 = 2364.72.

$\bf \begin{array}{lllllll} \textit{amount all five}&&\textit{amount they}&\textit{must be}&\textit{amount allowed}\\ \textit{members can use}&&\textit{already used}&\textit{equals or less}&\textit{per month}\\\\ 5x&+&4,885.78&\leqslant&7,250.50 \end{array}$