In this sample,are the events believed the false headline and believed are mutually exclusive?

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anahitrejo1

25.07.2021

Mathematics

Greetings!

Solve the System, using Elimination:
$\left \{ {{4x+2y=18} \atop {2x+3y=15}} \right.$

Multiply Equation #2 by 2:
$\left \{ {{4x+2y=18} \atop {2(2x+3y)=2(15)}} \right.$

$\left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.$

Eliminate variable x:
$-\frac{ \left \{ {{4x+2y=18} \atop {4x+6y=30}} \right.}{0x-4y=-12}$

4y=-12

Divide both sides by 4:
$\frac{4y}{4}= \frac{12}{4}$

y=3

Input this value into one of the Equations:
4x+2y=18

Simplify:

Divide both sides by 4.
$\frac{4x}{4}= \frac{12}{4}$

x=3

The Solution to this System (The Point of Intersection):
$\boxed{(3,3)}$

I hope this helped!
-Benjamin

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