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3 years ago

2x-3y=-5 2x+y=7 what is the solution?

Mathematics

1 answer:

shusha [124]3 years ago

6 0

Answer:

y = 3 and x = 2

Step-by-step explanation:

subtract the 2nd eqn from the first...

-4y = -12

y = 3

substitute the value of y into either of the eqns...

2x - 3(3) = -5

2x = 4

x = 2

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Question 1: find the volume of a cube whose total surface area is 486cm^2

lapo4ka [179]

<h3>The volume of cube is 729 cubic centimeter</h3>

Solution:

The surface area of cube is given as:

$Surface\ area = 6a^2$

Where, "a" is the length of side of cube

Given that, surface area = 486 square centimeter

$486 = 6a^2\\\\a^2 = \frac{486}{6}\\\\a^2 = 81\\\\a = 9$

Find the volume of cube:

$volume\ of\ cube = a^3\\\\volume\ of\ cube = 9^3\\\\volume\ of\ cube = 9 \times 9 \times 9\\\\volume\ of\ cube = 729$

Thus volume of cube is 729 cubic centimeter

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