3 years ago

Which system of equations would have the same solution as the system: x+y=5 3x+2y=10

1 answer:

5 0

{ x + y = 5 * ( -3 )
3x + 2y = 10

- 3 x - 3 y = - 15
3 x + 2y = 10
_______________
- y = - 5 * ( -1 )

y = 5

For x :

3 x + 2 y = 10

3 x + 2 * ( 5 ) = 10

3 x + 10 = 10

3 x = 10 - 10

3 x = 0

x = 0 / 3

x = 0

X = 0 and y = 5

hope this helps!

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Which equation shows a valid step in solving /2x-6+2x+6=0?

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<h3>What is an equation?</h3>

An equation simply refers to a mathematical expression that can be used to show the relationship existing between two (2) or more numerical quantities.

In this exercise, you're required to show a valid step which can be used to solve the given mathematical equation. Since both equations are having a cube root, the first step is to take the cube of both sides.

Take the cube of both sides, we have:

$\sqrt[3]{2x - 6} + \sqrt[3]{2x + 6} = 0\\\\(\sqrt[3]{2x - 6})^3 + (\sqrt[3]{2x + 6})^3 = 0^3\\\\(\sqrt[3]{2x - 6})^3 = (-\sqrt[3]{2x + 6})^3$