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Sagot :
.
Since left sides are identical, right sides are equal
5x - 9 = x + 3
Simplify and find x
5x - x = 3 + 9
4x = 12
x = 12/4 = 3.
Then from either of the two given equations, y = 6.
ANSWER. The solution is (x,y) = (3,6).
Since left sides are identical, right sides are equal
5x - 9 = x + 3
Simplify and find x
5x - x = 3 + 9
4x = 12
x = 12/4 = 3.
Then from either of the two given equations, y = 6.
ANSWER. The solution is (x,y) = (3,6).
What is the solution for the system below?
y = 5x - 9
y = x + 3
ANSWER : x = 3 and y = 6
DISCUSSION
The method of elimination is a method by which one of the variables is eliminated so that the remaining variables are subsequently searched for the satisfactory value.
Is known
Equation 1 : y = 5x - 9
Equation 2 : y = x + 3
Asked
x?
y?
Answered
Equation 1
y = 5x - 9
- 5x + y = - 9
5x - y = 9
Equation 2
y = x + 3
- x + y = 3
Elimination Equation 1 dan 2
5x - y = 9
- x + y = 3
--------------- +
4x = 12
x = 3
Obtained x = 3
Substitute x = 3 to equation 2
- x + y = 3
- ( 3 ) + y = 3
- 3 + y = 3
y = 3 + 3
y = 6
PROOF IF x = 3 and y = 6
5x - y = 9
5 ( 3 ) - ( 6 )
15 - 6 = 9
Conclusion
so the x and y values for the system are
x = 3 and y = 6
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DETAIL ANSWER
Grade : 8th
Course : Mathematics
CHAPTER : Variable Equation 2
Code : 8.2.5
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