Solve the following system of equations. Express your answer as an ordered pair in format (a,b), with no spaces between the numb
ers or symbols. 3x+4y=16 and -4x-3y=-19
2 answers:
Remark
There are two ways to do this. You can graph the equations (which I have included at the end of the question using Desmos) or you can solve it algebraically which in this case is going to be slightly painful.
Algebra
Multiply the first equation by 4 and the second by 3
<em><u>First Equation</u></em>
4 [3x + 4y = 16]
12x + 16y = 64 (3)
<em><u>Second Equation</u></em>
3 [-4x - 3y = - 19]
- 12x - 9y = - 57 (4)
Add (3) and (4)
12x + 16y = 64
<u>- 12x - 9y = -57 </u> Add
7y = 7 Divide by 7
y = 1
Solve for x
3x + 4y = 16 Let y = 1
3x + 4(1) = 16
3x + 4 = 16 Subtract 4
3x = 12 Divide by 3
x = 12/3
x = 4
Answer
(4,1) just as the graph suggests.
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Answer:
Step-by-step explanation:
Given the sequence
Therefore the sequence is:
This is a geometric sequence where the:
First Term,
Common ratio, r =-3
We want to determine the sum of the first 75 terms.
For a geometric sequence, the sum:
Therefore:
Solution:
Step 1:
For angle D, Opposite is 12 and adjacent 20