SOLUTION: Please help me with solving this problem by the addition method. 6x + 15y = -45 6x + 5y = -35 This is what I tried to do: 6x + 15y = -45 6x +

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The given equations are,
6x + 15y = -45 ...(1)
6x + 5y = -35 ...(2)
(1)-(2)=> 10y = -45+35
10y = -10
y = -10/10
y = -1
Substituting in (1), 6x-15 = -45
6x = -45+15
6x = -30
x = -30/6
x = -5
Therefore the solution is x = -5 and y = -1

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The method we will use is called the "elimination" or "multiplication-elimination" method. We want to get rid of a variable. Here was the original question:
(i)
(ii)
As we look at these equations, it would be easier to eliminate the variable. So, multiply (ii) by (-1) to get
(iii)
Now add (i) and (iii) to get
(iv)
solving for y, we get

replace y with -1 into (i) to get
(v)
solving for x, we get


Our coordinate is (-5,-1)

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Here the addition method means subtract 6x+5y=-35 or add -(6x+5y=-35)
6x+15y=-45
6x+5y=-35
6x-6x=0
15y-5y=10y
-45-(-35)=-10
10y=-10
y=-1
plug 1 for y in either equation
6x+5y=-35
6x-5=-35
add 5
6x=-30
x=-5
(-5,-1)