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Madison
History
29 May, 13:37
3x+9y=-9
-3x+8y=26
solve each system by elimination
+3
Answers (
1
)
Darion Ingram
29 May, 13:56
0
x = - 6
y = 1
Explanation:
Elimination is a process in solving the system of the two unknowns.
It consists of subtracting or adding two equations in order to cancel out one of the unknowns.
In this case:
3x + 9y = - 9
-3x + 8y = 26
we see that we can eliminate 3x and - 3x by adding them up. 3x and - 3x will cancel each other out and give 0 so we will be left with only y.
So, when we add them up, we get:
3x + 9y + (-3x) + 8y = - 9 + 26
17y = 17
y = 1
Now that we know the value of y, we can plug it back into any of the two equations to find x:
3x + 9y = - 9
3x + 9 = - 9
3x = - 18
x = - 6
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