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2 years ago

Is (1,8) a solution to this system of equations? 19x+3y=2 3x+y=11

Mathematics

1 answer:

pantera1 [17]2 years ago

7 0

Answer:

No (1,8) is not a solution to 19x+3y=2.

However, (1,8) is a solution to 3x+y=11.

Step-by-step explanation:

(1,8)

The one represents the x shown in each equation, the eight represents the y.

Substitute the one in for the x and the eight in for the y.

19x+3y=2

19(1)+3(8)

3x+y=11

3(1)+(8)

Next, solve the equation.

19(1)+3(8) = 43

3(1)+(8) = 11

As you can see, 43 does not equal 2.

But, 11 does equal 11.

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The width of a rectangle is 3x+5 and the length of the rectangle is 6x+10. Determine the ratio of the width to the perimeter.

Mashcka [7]

Answer:

1 : 6

Step-by-step explanation:

Calculate the perimeter

perimeter = 2(3x + 5) + 2(6x + 10) = 6x + 10 + 12x + 20 = 18x + 30

perimeter = 18x + 30 ← take out a common factor of 6 from both terms

= 6(3x + 5)

ratio of width : perimeter

= 1(3x + 5) : 6(3x + 5) ← divide both parts by (x + 5)

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3 years ago

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Answer:

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kompoz [17]

Answer:

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Step-by-step explanation:

1) Subtract 40 from both sides.

$- 8x > - 16 - 40$

2) Simplify -16 - 40 to -56.

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3) Divide both sides by -8.

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4) Two negative numbers makes a positive.

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aleksandrvk [35]

Answer:

The value of n is 11 feet.

Step-by-step explanation:

Given that the area of rectangle from is A = length×width so we have to substitute the variables into the formula in order to find n :

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2 years ago