Answer:
p = 
and q = 
Step-by-step explanation:
Given equations:
2p - 3q = 4 -----------(i)
3p + 2q = 9 ------------(ii)
Let's solve this equation simultaneously using the <em>elimination method</em>
(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;
[2p - 3q = 4] x 3
[3p + 2q = 9] x 2
6p - 9q = 12 -------------(iii)
6p + 4q = 18 -------------(iv)
(b) Next, subtract equation (iv) from equation (iii) as follows;
[6p - 9q = 12]
<u> - [6p + 4q = 18] </u>
<u> -13q = -6 </u> -----------------(v)
<u />
<u>(c)</u> Next, make q subject of the formula in equation (v)
q =
(d) Now substitute the value of q = into equation (i) as follows;
2p - 3() = 4
(e) Now, solve for p in d above
<em>Multiply through by 13;</em>
26p - 18 = 52
<em>Collect like terms</em>
26p = 52 + 18
26p = 70
<em>Divide both sides by 2</em>
13p = 35
p =
Therefore, p = and q =
Accurate. A reflection will change the direction the vertices trace around the figure. A rotation preserves the change.<span>
</span>
First step you should do is s<span>implify both sides of your equation:
</span>29-(x+8)=6x-7
Distribute the Negative Sign:
29+-1(x+8)=6x-7
29+-1x+(-1)(8)=6x-7
29+-x+-8=6x-7
29+-x+-8=6x+-7
<span>Combine Like Terms:
</span>(-x)+(29+-8)=6x-7
-x+21=6x-7
<span>Subtract 6x from both sides:
</span>-x+21-6x=6x-7-6x
-7x+21=-7
<span>Subtract 21 from both sides:
</span>-7x+21-21=-7-21
-7x=-28
<span>Divide both sides by -7:
</span>-7x/-7 = -28/-7
And now your answer should be:
x=4
~~~~~
Good luck~ Sans
Answer:
$2.50
Step-by-step explanation:
Shelley buys one pack of gum for $1
Price of gum: $1
Total amount of money spent: $1.00
Shelley buys another pack of gum for $0.50 more
1 + 0.50 = 1.5
Price of gum: $1.50
Total amount of money spent: $2.50
18 times .031 is .558
18 dollars minus .558 cents is 17.442
Answer is he was maki 17.442 dollars before the increase
