Question

What is the value of y in the solution to the following system of equations?

5x – 3y = –3
2x – 6y = –6

Answer 1

1

0

–1

2

Answer 2

@deesmoopth94 did you understand how to solve these type of questions?

Answer 3

no

Answer 4

??

Answer 5

Ok I'm gonna explain you
we have
\[5x – 3y = –3\]
\[2x – 6y = –6\]
Let's look at the coefficients of x and y
We notice that y's coefficient in the two equations are -3 and -6
If we multiply the first by equation by 2 and subtract 2nd equation from it. We'd be able to eliminate y and can solve for x
Multiply 1st by 2
we get
\[10x-6y=-6\]
now let's subtract 2nd equation from this
we get
\[10x-6y-(2x-6y)=-6-(-6)\]
\[10x-6y-2x+6y=0\]
\[10x-\cancel {6y}-2x+\cancel {6y}=0\]
\[10x-2x=0\]
we get
\[8x=0\]
or
\[x= 0\]
now to find y let's take any of the equations, say first
\[5x – 3y = –3\]
let's substitute x= 0
\[0-3y=-3\]
divide both sides by -2
so we get y=1

Answer 6

ohhhhh ok

Answer 7

Did you understand?

Answer 8

yes thank you