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marissa [1.9K]
3 years ago
13

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

Mathematics
2 answers:
Anastasy [175]3 years ago
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]3 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

<u>3</u><u>0</u><u>x</u><u> </u><u>-</u><u> </u><u>1</u><u>0</u><u>y</u><u> </u><u>=</u><u> </u><u>6</u><u>0</u>

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.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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