Question

-9x+10y = -18
3x- y =6
Elimination

Answer 1

Step-by-step explanation:

Hey, there!!

To solve this type of equation it is very easy from elimination method,

• Firsty, you try to search if there is opposite sign of same variables or not in both equation.
• Then find their LCM to make easy to cancel.
• And thirdly add or subtract the terms to get value of one variable.
• Then substitute the value of one variable to get value of another variable.

Here, the given equation are,

-9x+10y = -18..........(i)

3x-y = 6....................(ii)

Let's take LCM to solve for x.

To solve for "x" we must cancel "y".

LCM= 10 { lcm of 1 and 10 is 1}

So, let's multiply equation (ii) by 10 and add them.

Then,

-9x + 10y = -18

30x - 10y = 60

21x = 42 { as +10y and -10y gets cancelled}

`x = (42)/(21)`

Therefore, x= 2.

Substituting the value of x in equation (i)

-9x + 10y = -18

-9 × 2 +10y = -18

-18 + 10y = -18

or, 10y = -18 +18

Therefore, y= 0.

So, the value of x is 2 and y is 0.

Hope it helps...

Answer 2

Answer: x = 2 and y = 0

Step-by-step explanation:

-9x + 10y = -18
3x - y = 6
————————
-9x + 10y = -18
10(3x - y = 6)
————————
-9x + 10y = -18
30x - 10y = 60
————————-
21x = 42
x = 42/21
x = 2

Find y:

3x - y = 6
3(2) - y = 6
6 - y = 6
-y = 6 - 6
-y = 0
y = 0