All categories

3 years ago

Solve using substitution x=(3y+1) and x+4y=15

Mathematics

1 answer:

natka813 [3]3 years ago

3 0

The solution is: x= 7 and y = 2

Step-by-step explanation:

Given equations are:

$x = 3y+1\ \ \ \ Eqn\ 1\\x+4y = 15\ \ \ \ Eqn\ 2$

Putting x = 3y+1 in equation 2 from equation 1

$3y+1+4y = 15\\7y+1 = 15\\$

Subtracting 1 from both sides

$7y+1-1 = 15-1\\7y = 14$

Dividing both sides by 7

$\frac{7y}{7} =\frac{14}{7}\\y = 2$

Putting y=2 in equation 1

$x = 3(2) +1\\x = 6+1\\x = 7$

Hence,

The solution is: x= 7 and y = 2

Keywords: Linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

You might be interested in

A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among thr

Lyrx [107]

there are 19 cards there

6 0

3 years ago

Sequence of numbers 1.5,2.25,3.0,3.75 in a recursive formula?

stellarik [79]

Answer:

f(n + 1) = f(n) + 0.75

Step-by-step explanation:

7 0

3 years ago

a company borrowed 25,000 and was charges 3.5% and was charged 2,625 in interet...how long was it before the company repaid the

Sladkaya [172]

We'll have to assume that interest is charged annually.

interest = i = p*r*t, where p is the initial amount ($25000), r is the annual interest rate as a decimal fraction, and t is the length of time, in years.

Then $2625 = $25000*0.035*t. Solve for t:

$2625
------------ = 0.035t = 0.105. Dividing both sides by 0.035, we get
$25000

t = 3 years (answer)

7 0

3 years ago

I need a little help with this problem: 5k + 1 = 4k - 1

Varvara68 [4.7K]

5k-4k=-1+-1
k=-2, its all aboit rearranging the order of numders based on there like terms. If you need any more help ask.

8 0

3 years ago

Alex is standing 60 feet from the base of a flagpole. He measures the angle of elevation to the top of the pole as 35º. Vera is

ivanzaharov [21]

Answer:

49.4 degrees

Step-by-step explanation:

In Triangle AXY,

$Tan 35^0=\frac{|XY|}{60} \\|XY|=60*Tan 35^0=42.01\:feet\\$Therefore, Height of the pole=42.01 \:feet$

We want to determine the angle of elevation from the point Vera is standing to the top of the flagpole, which is the angle at V in the diagram.

In Triangle XVY

|VY|=36 feet

$Tan \theta=\frac{|XY|}{|VY|} \\Tan \theta=\frac{42.01}{36}\\ \theta=arctan(\frac{42.01}{36})\\ \theta=49.4^0$

Therefore, the angle of elevation from the point Vera is standing to the top of the flagpole is 49.4 degree to the nearest tenth of a degree.

4 0

3 years ago