So elimination method is basically adding the equations and canceling out variables.
-6x + 6y = 6
-6x + 3y = -12
The eaiest way to solve is by multiplying the bottom equation by -1.
-6x + 6y = 6
6x - 3y = 12
Now you add the eqautions.
3y = 18
Divde 3 from both sides.
y = 6
Now plug in 6 into any of the original two equations. Lets use the first one.
-6x + 6(6) = 6
-6x + 36 = 6
Subtract 36 from both sides.
-6x = -30
Divide -6 from both sides.
x = 5
So your solution is (5, 6).
I hope this helps love! :)
Answer/Step-by-step explanation:
Given,
10x - 3y = 3
3x + 10y = 30
Rewrite both equation in slope-intercept form, y = mx + b.
Where, m = slope of the line.
Thus,
✔️10x - 3y = 3
-3y = -10x + 3
y = 10/3x - 1
Slope of this line would be 10/3
✔️3x + 10y = 30
10y = -3x + 30
y = -3/10x + 3
The slope of this line is -³/10.
✔️The two lines are pendivukar to each other because the slope of one is the negative reciprocal of the other.