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Dmitry [639]
3 years ago
12

What is the value of x in the solution to the system of linear equations? {y=3x+2 y=x-4 a –7 b –3 c 1 d 5

Mathematics
2 answers:
lyudmila [28]3 years ago
5 0

Since y must equal both 3x+2 and x-4, we deduce that 3x+2 and x-4 must equal each other. So, we have

3x+2=x-4 \iff 2x+2=-4 \iff 2x=-6 \iff x=-3

rodikova [14]3 years ago
5 0

Answer:

b. -3

Step-by-step explanation:

the system is:

y=3x+2\\y=x-4

to find the value of x, we need to eliminate the y variable.

We can eliminate the 'y'  by substracting the equations:

y=3x+2\\-(y=x-4)\\-----------\\y=3x+2\\-y=-x+4\\------------\\y-y=3x-x+2+4

which is simplified to:

0=2x+6

and clearing for x:

2x=-6\\x=-6/2\\x=-3

which is option b.

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Complete the arithmetic sequence with its missing terms, then state the rate of change for the sequence.
bezimeni [28]

Answer:

89,86,83

Step-by-step explanation:

92-80=12

12÷4=3

80+3=83

83+3=86

86+3=89

5 0
3 years ago
I NEED HELP PLEASE ?!!
Fittoniya [83]
The circle equation is in the format (x – h)² + (y – k)² = r², with the center being at the point (h, k) and the radius being "r".

QUESTION 11.
Equation x²+y²+10x-14y-7 =0 can be rewritten as: x²+10x+25 + y² -14y + 49 -7 - 25 - 49=0
It can be factories as (x + 5)² + (y – 7)² = 9²

Therefore the radius equals 9 and the center is (-5,7)

QUESTION 12.
From equation (x + 4)² + y² = 121

The radius equals √121 = 11 and the center is (-4,0)

QUESTION 13.
As there are missing information in the question, I can't assist. However, you can use the general circle equation (x – h)² + (y – k)² = r² to solve the question.

Finally equations 14 & 15 aren't linear.

Hope that helps you :)
5 0
3 years ago
You invested a total of $25000 at 3% and 4.5% simple interest. During one year, the two accounts earned $900. How much did you i
Sedaia [141]
A:amount of money invested in the account with 3% simple interest
B: amount of money invested in the account with 4.5% simple interest
a+b=25000 ——>a=25000-b

0.03a+0.045b=900
30a+45b=900000
2a+3b=60000

2(25000-b)+3b=60000
50000-2b+3b=60000
B=10000
A=25000-10000=15000
4 0
4 years ago
Find the midpoint of the segment with the following endpoints.<br> (-1,3) and (-9, -7)
Mrrafil [7]
(-5,-2)
Average the x and y values
5 0
4 years ago
Read 2 more answers
Diego has $80 in a savings account that earns 10% annually. How much in all will he have in 5 years?
adell [148]
Answer:
Diego Would Have $120

How I Found The Answer:

10% Of $80 = $8

$8 x 5 = $40

$80 + $40 = $120
7 0
3 years ago
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