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4 years ago

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

2 answers:

8 0

Answer: x = 2 and y = 0

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

Fiesta28 [93]4 years ago

3 0

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}

$x = \frac{42}{21}$

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...

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