The solution to system is x = 0 and y = -1
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
-8x + 2y = -2 ----------- eqn 1
4x + 4y = -4 ---------- eqn 2
We have to solve the system of equations
We can solve the equations by elimination method
<em><u>Multiply eqn 2 by 2</u></em>
8x + 8y = -8 ------ eqn 3
<em><u>Add eqn 1 and eqn 3</u></em>
-8x + 2y = -2
8x + 8y = -8
( + ) ---------------
0x + 2y + 8y = -2 - 8
10y = -10
Divide both sides by 10
y = -1
<em><u>Substitute y = -1 in eqn 1</u></em>
-8x + 2(-1) = -2
-8x - 2 = -2
-8x = -2 + 2
x = 0
Thus the solution to system is x = 0 and y = -1
Answer:
Step-by-step explanation:
The Jones family has saved a maximum of $750 for their family vacation to the beach. It means that whatever they would do during the vacation, they cannot spend more than $750.
The inequality can be used to determine the number of nights the Jones family could spend at the hotel is
750 ≥ 75 + 125h
This can also be written as
75 + 125h ≤ 750
We would solve the inequality for the value of h.
125h ≤ 750 - 75
125h ≤ 675
h ≤ 675/125
h ≤ 5.4
For any value of h greater than 5.4 hours, the inequality will not be true.
Answer:False, true, true, false
Step-by-step explanation:
The first one is false because 2 & 5 equal 180 together. B is true because they equal the same thing. C is true because they equal 180 together. And D is false because those don’t equal 180.