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agasfer [191]
3 years ago
9

Use the subsitution method to solve the system of equations. 2x+3y=12. Y=x-1

Mathematics
1 answer:
Sidana [21]3 years ago
6 0

Answer:

x = 3, and y = 2

Step-by-step explanation:

2x + 3y = 12 -------- (1)

y = x - 1 ---------------(2)

Substitute value of Y in (2) in (1)

2x + 3(x-1) = 12

2x + 3x - 3 = 12

5x - 3 = 12

5x = 12 + 3

5x = 15

x = 15/5

x = 3

Put the value of x in equation 2

y = x-1

y = 3 - 1

y = 2

Therefore, x = 3, and y = 2

Hope u understand

Please mark as barinliest

Thank You

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3.12 in standard form
LenaWriter [7]
3.12 × 104. 3.12E4 = 3.12 × 10 × 10 × 10 × 10 = 31,200 ...
5 0
3 years ago
Read 2 more answers
What is the math definition for 'counterexample'? When is counterexample used?
LenaWriter [7]
A <u>counterexample</u> is something that proves a statement, or equation, wrong. A counterexample is used in math when someone creates a theorem, writes an equation, or creates a new rule and someone proves it to be false.

<u>For Example:</u>
Let's say that I said <em>an even number plus an odd number always equals an even number</em>. A counterexample of that would be 4 + 5 = 9, because 9 is odd, therefore proving the statement wrong.
7 0
3 years ago
Which of the following fractions is equivalent to 2:11?
Lostsunrise [7]

Answer:

Step-by-step explanation:

Step 1:

2 : 11           Ratio

Having a ratio is the same thing as dividing so if you divide 2 by 11 you get 2/11.

Step 3

2 ÷ 11

Answer:

C. 2/11

Hope This Helps :)

8 0
3 years ago
750 tickets were sold for a game for a total of $1,500.00. if adult tickets sold for $2.50 and children's tickets sold for $1.50
Charra [1.4K]
1500$/750tickets=2$
(2.50$+1.50$)/2=4/2=2$ <span>weighted average
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6 0
4 years ago
"How much do students pay, on average, for textbooks during the first semester in college? From a random sample of 400 students
dezoksy [38]

Answer: The margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

Step-by-step explanation:

Since we have given that

Sample size = 400

Mean = $357.75

Standard deviation = $37.89

At 95% confidence level, z = 1.96

We first find the margin of error.

Margin of error is given by

z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1.96\times \dfrac{37.89}{\sqrt{400}}\\\\=3.71

95% confidence interval would be

\bar{x}\pm \text{margin of error}\\\\=357.75\pm 3.71\\\\=(357.75-3.71,357.75+3.71)\\\\=(354.04,361.46)

Hence, the margin of error = 3.71, confidence interval = (354.04, 361.46) and it means that mean cost is lies within the confidence interval.

7 0
4 years ago
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