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3 years ago

13

Mr. McGregor has discovered that a large dog can destroy his entire garden in 2 hours and that a small boy can do the same job i

n 1 hour. How long would it take the large dog and the small boy working together to destroy Mr McGregor's garden?

1 answer:

mash [69]3 years ago

6 0

Answer: -1

Step-by-step explanation:

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Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2

Vlad [161]

<em>Answer</em>

B) y = 3

<em>Step-by-step explanation</em>

Given the system of equations:

$\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}$

Isolating x from equation 1:

$\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}$

Substituting equation 3 into equation 2 and solving for y:

$\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}$

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1 year ago

Solve for x. x - 2(2 - 3/2 x) = 2(4 - x) + 1

STALIN [3.7K]

Answer:

x = 13/6

Step-by-step explanation:

We are the following expression;

x - 2(2 - (3/2)*x) = 2(4 - x) + 1

x - (4 - 3*x) = 8 - 2*x + 1

x - 4 + 3*x = 8 - 2*x + 1

4*x + 2*x = 9 + 4

6*x = 13

x = 13/6

8 0

3 years ago