If 2x + 3y = 194 and x = 28, what is the value of y?

Mathematics

2 answers:

bogdanovich [222]1 year ago

8 0

Answer:

Step-by-step explanation:

For the value of y, substitute x = 28 into the equation.

2x + 3y = 194

2(28) + 3(y) = 194

56 + 3y = 194

3y = 194 - 56

3y = 138

dividing bothsides by 3

y = 46

Katena32 [7]1 year ago

8 0

Answer:

y = 46

Step-by-step explanation:

We want to find the value of y

2x+3y = 194

We are given the value of x

x=28

Substitute the value of x into the first equation

2(28)+3y = 194

56 + 3y = 194

Subtract 56 from each side

56+3y -56 = 194 -56

3y = 138

Divide each side by 3

3y/3 = 138/3

y =46

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julia-pushkina [17]

Answer:

x = 10

y = 20

Step-by-step explanation:

$\tan \: 30 \degree = \frac{x}{10 \sqrt{3} } \\ \\ \frac{1}{ \sqrt{3} } = \frac{x}{10 \sqrt{3} } \\ \\ \sqrt{3} x = 10 \sqrt{3} \\ \\ x = \frac{10 \sqrt{3} }{ \sqrt{3} } \\ \\ x = 10 \\ \\ \cos 30 \degree = \frac{10 \sqrt{3} }{y} \\ \\ \frac{ \sqrt{3} }{2} = \frac{10 \sqrt{3} }{y} \\ \\ y = 10 \sqrt{3} \times \frac{2}{ \sqrt{3} } \\ \\ y = 10 \times 2 \\ \\ y = 20$