I need help with my algebra homework. EVEN NUMBERS ONLY (DON’T DO NUMBER 10 AND 16)
DO NUMBER 2,4,12,14,18,20,22,24
Please show ALL work even when it includes to graph
show all the steps on a piece of paper
1. Determine whether or not (-2, 8)
18 a solution to
2x -8y = – 10
3x + 4y = -3
x-y+2z = – 15
2. Determine whether or not (-3, 2, – ) is a solution to 2x-3y + z = – 17.
(3x + 5y – 2z= 10
Solve by graphing.
3.
[x-y= -5
(x+y=-3
|6x – 8y = 48
*x-x=1
4.
1
e
x+y = -6
5.
-2x – 4y= 24
Solve by substitution.
Solve
9.
10.
(3x – 5y = 27
(7x+2y= 22
[ 12x+3y= – 3
5x+2y=1
( 5x – 3y = -1
-15x + 9y=5
6a – 3b +2c= 11
12.
2a – — 4c= – 15
40 – 5b + 3c = 23
4x + y-62 = 8
13.
5x + 4y – 2 = 10
2x + y – 2z = 4
Solve using any method.
* -5y + 8z = 1
Solve using any method.
x – 5y + 8z = 1
14.
2x +9y-4z= -8
-3x+11y+12= = 15
2x-y+z=1
15.
x – y + 3z = 2
3x – 2y + 4z = 5
1-5x + 3y = 2
16.
(4x +2y = -1
2x – 3y + 2z = 2
x + 2y— 3z= 0
17
.
-x-y+z= -2
Graph the solution set.
[3x + 4y < 24
UTAFV+z=1-2
Graph the solution set.
3x + 4y < 24
co
2x – 3y 0
[x+y - ^+ 6)2 + 4
19
Use algebra to solve the following.
20. The length of a rectangle is 1 inch less than twice
that of its width. I
inchee then find the dimensions of the rectangle.
Use algebra to solve the following.
20. The length of a rectangle is 1 inch less than twice that of its width. If the perimeter measures 49
inches, then find the dimensions of the rectangle.
21. Joe's $4,000 savings is in two accounts. One account earns 3.1% annual interest and the other
earns 4.9% annual interest. His total interest for the year is $174.40. How much does he have in
each account?
22. One solution contains 40% alcohol and another contains 72% alcohol. How much of each should
be mixed together to obtain 16 ounces of a 62% alcohol solution?
23. Jerry took two buses on the 193-mile trip to visit his grandmother. The first bus averaged 46
miles per hour and the second bus was able to average 52 miles per hour. If the total trip took 4
hours, then how long was spent in each bus?
24. A total of $8,500 was invested in three interest eaming accounts. The interest rates were 2%,
3%, and 6%. If the total simple interest for one year was $380 and the amount invested at 6%
was equal to the sum of the amounts in the other two accounts, then how much was invested in
each account?
25. A mechanic wishes to mix 6 gallons of a 22% antifreeze solution. In stock he has a 60% and an
80% antifreeze concentrate. Water is to be added in the amount that is equal to twice the
amount of both concentrates combined. How much
water is needed?
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