Help?!! In a hurry to try and pass my geometry class please help!
1 answer:
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<u>ANSWER: </u>
The solution of the two equations 2x+3y=5 and 4x - y=17 is (4, -1).
<u>SOLUTION: </u>
Given, two linear equations are 2x + 3y = 5 → (1) and 4x – y = 17 → (2).
Let us first solve the above equations using <em>elimination process. </em>
For elimination, one of the coefficients of variables has to be same in order to cancel them.
Now solve (1) and (2)
eqn (1) 2 → 4x + 6y = 10
eqn (2) → 4x – y = 17
(-) ----------------------------
0x + 7y = -7
y = -1
Substitute y value in (2)
So, solution of two equations is (4, -1).
<u><em>Now let us solve using substitution process.</em></u>
Then, (2) → 4x – y = 17 → 4x = 17 + y → y = 4x – 17
Now substitute y value in (1) → 2x + 3(4x – 17) = 5 → 2x + 12x – 51 = 5 → 14x = 5 + 51 → 14x = 56
x = 4
Substitute x value in (2) → y = 4(4) – 17 → y = 16 – 17 → y = -1
Hence, the solution of the two equations is (4, -1).
Answer:
$997
Step-by-step explanation:
Okay, so the first thing you need to do is find how much commission Luis received so that we can add that to the base salary. To do that, we could set up a proportion.
Since percentages are out of 100, we'll need to put 14 over 100. Because $6050 is the total amount he sold, we'll put that number in the denominator corresponding to the total, or 100. The proportion will look somewhat like the following:
To find X, we have to multiply across (14 × 6050, which is 84700) then divide that by 100 (or the denominator right on the other side), which would result in 847.
So... X = $847. Now we add that to the base salary (150 + 847), and that gets us $997 for the total he was paid last week.
I apologize for taking so long to help ^-^;