Answer:
12 and 168
Step-by-step explanation:
Supplementary add up to 180°
x+14x = 180
15x=180
x=12
12*14=168
168+12 = 180
Answer:
Option D. (8, – 4)
Step-by-step explanation:
3x + 4y = 8 ..... (1)
x – y = 12.... (2)
To solve the above equation by elimination method, do the following:
Step 1:
Multiply equation 1 by the coefficient of x in equation 2 i.e 1.
Multiply equation 2 by the coefficient of x in equation 1 i.e 3. This is illustrated below:
1 × Equation 1
1 × (3x + 4y = 8)
3x + 4y = 8 ...... (3)
3 × Equation 2
3 × ( x – y = 12)
3x – 3y = 36......(4)
Step 2:
Subtract equation 3 from equation 4. This is illustrated below:
. 3x – 3y = 36
– (3x + 4y = 8)
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
– 7y = 28
Divide both side by the coefficient of y i.e –7
y = 28/–7
y = – 4
Step 3:
Substitute the value of y into any of the equation to obtain the value of x. In this case, we shall substitute the value of y into equation 2 as shown below:
x – y = 12
y = –4
x – (–4) = 12
x + 4 = 12
x = 12 – 4
x = 8
Therefore, the solution to the equation above is (8, – 4)
Common difference: 6
First term: 7
Second term: 13
Third term: 19
Fourth term: 25
Fifth term: 31
I hope this is correct and helps!
X = number of dimes
y = number of quarters
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10x + 25y = 2565
y = x + 20
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put the system of linear equations into standard form
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10x + 25y = 2565
x - y = -20
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = 59
y = 79
Before the fraction: -1/2, i have a negative sign
use y=mx+b
3=-1/2(2)+b
3+1=-1+b+1
4=b
check your work
0=-1/2x+4
0+4=-1/2x
(4)÷(-1/2)=(-1/2x)÷(-1/2)
-2=x
another pair is (-2,0) use this to figure out the other points, and/or the points you have in the multiple choice.
