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2 years ago

3x-5y=-6 -9x-5y=18 whats the answer

2 answers:

4 0

$\left \{ {{3x-5y=-6\ \ | *3} \atop {-9x-5y=18}} \right. \\\\ \left \{ {{9x-15y=-18} \atop {-9x-5y=18}} \right. \\+----\\add\ both\ equations\\\\
-20y=0\ \ \ | divide\ by \ -20\\\\
y=0\\\\
3x-5y=-6\ \ \ \ add\ 5y\\\\
3x=-6+5y\ \ \ | divide\ by\ 3\\\\
x=\frac{-6+5y}{3}=\frac{-6+0}{3}=-2\\\\ x=-2\\ y=0$

rodikova [14]2 years ago

3 0

We can eliminate the y term by multiplying by -1 and adding
-9x-5y=18
multiply -1
9x+5y=-18
add
3x-5y=-6
+<u> 9x+5y=-18</u>
12x+0y=-24
12x=-24
divide by 12
x=-2

subsitute
3(-2)-5y=-6
-6-5y=-6
add 6 to both sides
-5y=0
y=0

x=-2
y=0

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larisa86 [58]

Answer:

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<h3>Answer:</h3>

x=2

<h3>Solution:</h3>

In order to isolate x, we should first of all take the square root of both sides.
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What is the solution of the system?

Kryger [21]

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:
$4x+2y=18$

$4x+2(3)=18$

Simplify:
$4x+6=18$

$(4x+6)+(-6)=(18)+(-6)$

$4x=12$

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

$x=3$

The Solution to this System (The Point of Intersection):
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I hope this helped!
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