Reticentrobbieidn
Answered

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What is the solution to the system below?
y = 5x - 9
y = x + 3

Sagot :

Goldenpoo21idn
.

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).
Mfadhildipidn

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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