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Nina [5.8K]
3 years ago
13

Solve each of the following system of equations by substitution!!! x-5y=-49 y=-2x+1

Mathematics
1 answer:
saul85 [17]3 years ago
8 0

Answer:

(-4,9)

Step-by-step explanation:

substitute the given value for y into the first equation

x-5(-2x+1)=-49

distribute

x+10x-5=-49

add like terms

11x-5=-49

add 5 to both sides

11x=-44

divide both sides by 11

x=-4

now plug x into into the second equation

y=-2(-4)+1

y=8+1

add like terms

y=9

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Can someone help me solve this and explain step by step algebraically <br> 1/8x+1/4y=2
mote1985 [20]

Answer:

x=16-2y

Step-by-step explanation:

\mathrm{Subtract\:}\frac{1}{4}y\mathrm{\:from\:both\:sides}

\frac{1}{8}x+\frac{1}{4}y-\frac{1}{4}y=2-\frac{1}{4}y

\mathrm{Simplify}

\frac{1}{8}x=2-\frac{1}{4}y

\mathrm{Multiply\:both\:sides\:by\:}8

8\cdot \frac{1}{8}x=8\cdot \:2-8\cdot \frac{1}{4}y

\mathrm{Simplify}

x=16-2y

Final Answer: x=16-2y

6 0
3 years ago
a population of insects increases at a rate of 1.5% per day about how long will it take to double A)2.5 days b) 5.0 days c) 46.6
ANTONII [103]

We can use population formula

P(t)=P_0(1+r)^{t}

we are given

interest rate is 1.5% per day

so,

r=0.015

now, we can plug values

P(t)=P_0(1+0.015)^{t}

P(t)=P_0(1.015)^{t}

we are given

P(t)=2Po

we can plug it

2P_0=P_0(1.015)^{t}

we can solve for t

2=(1.015)^{t}

t=46.55

so,

number of days is 46.5..........Answer


6 0
3 years ago
Read 2 more answers
Yey,jyhyhyhyhyhv ,,,,uyjvhgubyrfufhfgwillynhum bnu
Yuliya22 [10]

Answer:

111 grams

Step-by-step explanation:

Total mass: 185 g

The ratio of the mass of fruit to yoghurt is 2 : 3

185/5 = 37 g

37 x 3 = 111 g

6 0
3 years ago
Read 2 more answers
Solve for x<br> 41 – 3 = 7<br> Enter your answer in the box.<br> X =
AnnyKZ [126]

Answer: X= 2.5

Step-by-step explanation:

7 0
3 years ago
Greates common factor of 8x+2
KatRina [158]

Answer: 2

Step-by-step explanation:

Find the prime factors of each term

3 0
4 years ago
Read 2 more answers
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