leslieperez67
05.02.2020 •
Mathematics
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what is the solution of the system? use elimination. 5x+6y=17 -10x-9y=-43
a. (–7, –3)
b. (7, 3)
c. (7, –3)
d. (–7, 3)
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Ответ:
C.(7, –3)
Step-by-step explanation:
5x+6y=17
-10x-9y=-43
Multiply the first equation by 2
2(5x+6y)=17*2
10x +12y = 34
Add this equation to the second equation to eliminate x
-10x-9y=-43
10x +12y = 34
3y = -9
Divide by 3
3y/3 = -9/3
y = -3
Now we need to find x
5x+6y = 17
5x +6(-3) = 17
5x-18 = 17
Add 18 to each side
5x-18+18 =17+18
5x =35
Divide by 5
5x/5 = 35/5
x =7
(7,-3)
Ответ: