Question

-2x + y = 0 -7x + 3y = 2 ​

Answer 1

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

Answer 2

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
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