All categories

2 years ago

Solve the following system of equations using substitution. 4x + 2y = 12 x = y + 3

Mathematics

2 answers:

BigorU [14]2 years ago

4 0

Answer:

x = 3

y = 0

Step-by-step explanation:

The method of substitution is when one solves an equation for one of the variables, and then substitutes the expression into the other equation. After doing so, one will solve the other equation for the remaining variable and then backsolve for the first variable.

4x + 2y = 12

x = y + 3

The second equation is already sovled for parameter (x), subttiute this into the other equation,

4(y + 3) + 2y = 12

Distribute,

4y + 12 + 2y = 12

Simplify,

6y + 12 = 12

Inverse operations,

6y + 12 = 12

-12

6y = 0

y = 0

Backsolve for (x), substitute the value of (y) into the equation for (x) and solve,

x = y + 3

x = 0 + 3

x = 3

Afina-wow [57]2 years ago

4 0

Answer: look at the picture, sorry I can’t solve x = y + 3 for x.

Step-by-step explanation: Hope this help :D

You might be interested in

A locker combination has three nonzero digits, and digits cannot be repeated. If the first two digits are even, what is the prob

jonny [76]

Depends on the size of the lock, some locks go to 50 while others got to 40 it would 20/40

7 0

3 years ago

Briea is 1 less than 1/3 of the age of Mr Chapel. If Briea is 14 write and solve an equation to find Mr Chapels age

BaLLatris [955]

Answer:

14=1/3c-1

Step-by-step explanation:

Mr. Chapel =c

14=1/3c-1

7 0

2 years ago

In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 1

Afina-wow [57]

Answer:

a) P(t) = 330 $(1.11)^{t}$

b)P(t) →population after t years.

t →number of years.

c) Number of deer after five years = 556

Step-by-step explanation:

a) The population increasing at an annual rate of 11%, means the population is being multiplied by 1.11 each year.

So, we can use the formula

P(t) = P $(1+\frac{r}{100} )^{t}$

P(t) = 330 $(1+\frac{11}{100} )^{t}$

P(t) = 330 $(1.11)^{t}$

b) In this model

P(t) → population after t years

P → present population

r → annual increasing rate

c) Number of population after 5 years is,

P(5) = 330 $(1.11)^{5}$

= 556

Number of deer after 5 years = 556

8 0

2 years ago

75 % of the students are boys . There are 24 boys . What is the total number of Students

azamat

Answer:

32 students

Step-by-step explanation:

24 divided by .75 is 32

6 0

2 years ago

Please help would mean a lot

sammy [17]

Answer:

C maybe.........

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers