Answer:
x ≈ -0.90, y ≈ 2.31
x ≈ 1.40, y ≈ 9.19
Step-by-step explanation:
Easiest and fastest way to do this is to graph the systems of equations and trace where the graphs intersect:
Let x be the unknown number.
7x + 668 < 2000 => 7x plus 668 is less than 2000
where:
7x => x represents the number of cans to be collected in 7 days
668 is the number of cans already collected.
2000 is the target number of cans.
7x + 668 < 2000
<u> - 668 -668</u>
7x < 1332
<u>÷7 ÷7</u>
x < 190.30
or
x < 190
To check:
7x + 668 < 2000
7(190) + 668 < 2000
1330 + 668 < 2000
1998 < 2000
The solution to given system of equations is (x, y) = (2, -1)
<em><u>Solution:</u></em>
Given system of equations are:
-1x + 2y = -4 -------- eqn 1
4x + 3y = 5 ------- eqn 2
We can solve the above system of equations by elimination method
<em><u>Multiply eqn 1 by 4</u></em>
4(-1x + 2y = -4)
-4x + 8y = -16 ------ eqn 3
<em><u>Add eqn 2 and eqn 3</u></em>
4x + 3y = 5
-4x + 8y = -16
( + ) --------------------
0x + 11y = -16 + 5
11y = -11
y = -1
<em><u>Substitute y = -1 in eqn 1</u></em>
-1x + 2(-1) = -4
-x -2 = -4
-x = -4 + 2
-x = -2
x = 2
<em><u>Check the answer:</u></em>
Substitute x = 2 and y = -1 in eqn 2
4x + 3y = 5
4(2) + 3(-1) = 5
8 - 3 = 5
5 = 5
Thus the obtained answer is correct
Thus the solution to given system of equations is (x, y) = (2, -1)
Answer:
C. y<3
Step-by-step explanation:
We are required to determine the solution set of the inequality
Step 1: Add 9 to both sides
Step 2: Divide both sides by 15
The solution set of the given inequality is: y<3.
The correct option is C.
Integer??? Idk I'm sorry....
