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Genrish500 [490]
3 years ago
14

Solve the system of equations by substitution

Mathematics
1 answer:
scoundrel [369]3 years ago
7 0

Answer:

(x, y) = (1, 3)

Step-by-step explanation:

given the 2 equations

x + y = 4 → (1)

y = 3x → (2)

Substitute y = 3x into (1)

x + 3x = 4

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

y = 3 × 1 = 3

solution is (1, 3 )


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Tanzania [10]

Answer:

y = -\frac{2}{5}\cdot x - 11

Step-by-step explanation:

First, the slope is determined by using the following expression:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m = \frac{-7-(-9)}{-10 - (-5)}

m = -\frac{2}{5}

The y-intercept is found by using the line equation, the slope and one point:

y = m \cdot x +b

b = y - m\cdot x

b = -7 - \left(-\frac{2}{5}\right)\cdot (-10)

b = -11

The equation of the line is:

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7 0
3 years ago
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Alchen [17]

(B) 8 less than the product of 3 and n

Here, we are given an equation 3n - 8

Let us consider each of the options one by one

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(B) 8 less than the product of 3 and n will be written as 3n - 8. This matches our equation and hence is the correct answer.

(C) n minus 8 times 3 will be written as 24 - n. Hence, this is also incorrect.

(D) 3 times n less than 8 will be written as 8 - 3n. Thus, this is also eliminated.

Therefore, option B is the correct answer.

Learn more about expressing equations here-

brainly.com/question/4344214

#SPJ9

6 0
1 year ago
PRAGYA PLEASE HELP ME! (y-3)(y+4)?
Gemiola [76]

Answer:

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Step-by-step explanation:

Once again, FOIL is the way to go!

First, Outside, Inside, Last

y^2+y-12

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jolli1 [7]

Answer:

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Step-by-step explanation:

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True [87]

Answer:

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Step-by-step explanation:

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