Solve the system of equations. x + 3y = −12x + 2y = 6
1 answer:
Answer:
x=-3/19
y=39/19
Step-by-step explanation:
the equations can be written as the following system
If the second equation is multiplied by 3/2 it will become -18x+3y=9
If that equation is then subtracted with the first you will obtain the following
-19x=3, it means x=-3/19
The other variable is obtained by substituting the new value for x in the first equationx+3y=6, thus we obtain that y=39/19
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Given:
Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.
He is only allowed to work 13 hours total per week.
He wants to make at least 65 dollars.
To find:
The system of inequalities to represent this situation.
Solution:
Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.
He is only allowed to work 13 hours total per week. It means sum of x and y must be less than or equal to 13.
He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.
Number of hours can not be negative.
.
Therefore, the required system of inequalities contains some equations, and
.