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3 years ago

Find the missing values of the variables. The diagram is not to scale.

Mathematics

1 answer:

Paul [167]3 years ago

5 0

Answer:

y = 64 and x =99

Step-by-step explanation:

y+116 =180

y=64

and

x+y+72+135=360

x=99

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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

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Step-by-step explanation:

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Which number has the same value as 3 X 1/10?

irakobra [83]

To find the same value as 3 x 1/10 you first have to solve 3 x 1/10

so how to do this is you have to make 3 into a fraction

so to make 3 into a fraction you can put 3 as the numerator and 1 as the denominator

so you multiply
$\frac{3}{1} \times \frac{1}{10} = \frac{3}{10}$
so 3/10 has the same value as 3x1/10

HOPE THIS HELPS!!!

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3 years ago