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3 years ago

-2x + y = 0 -7x + 3y = 2

Mathematics

2 answers:

Lerok [7]3 years ago

8 0

x=2,y=-4

Step-by-step explanation:

-2x + y=0 eqn 1

-7x +3y=2 eqn 2

multiply eqn 1 by 3

-6x +3y=0 eqn 4

-7x +3y=2

subtract eqn 3 from eqn 4

-6x +3y=0

-(-7x +3y=2)

x=-2 eqn 5

substitute eqn 5 into eqn 2

-7(-2)+3y=2

14+ 3y=2

3y=2-14

3y=-12

divide both sides by 3

y=-4

dsp733 years ago

3 0

This is a system of equations.
First, you set everything in terms of y.
Take the first equation and move set everything equal to y
y=0+2x
Since it’s 0, you don’t need to put it, so
y=2x works.
Then, you plug y=2x into the bottom equation, for the y.
-7x +3(2x)=2. You do this because now you have the same variable for both and it can be solved easily.
Then you can simplify.
-7x+3x = 2
Then combine like terms.
-4x = 2
Divide by -4 on each side.
x = -1/2
So, now that you have x, you can plug in your x-value back into the top equation.
-2(-1/2) + y = 0
Combine like terms
1+y=0
Get y by itself
y=-1
There you have it!
You can check by plugging in both values to any of the equations. We will use the top one here.
-2(-1/2) + (-1) =0
+1 + -1 = 0
It works!
So,
X= -1/2
Y= -1
Please rate me Brainliest answer :)

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To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.

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3 years ago

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Step-by-step explanation:

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3 years ago

-2x + y = 0 -7x + 3y = 2 ​

-2x + y = 0 -7x + 3y = 2