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2 years ago

Find the solution for the system of linear equations by substitution: 2x - y = 3 y − x = 1

Mathematics

1 answer:

Leviafan [203]2 years ago

7 0

The solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change, slope or gradient

<h3>How to determine the solution to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2x- y = 3

y - x = 1

Make y the subject in the second equation, by adding x to both sides of the equation

y - x + x = x + 1

This gives

y = x + 1

Substitute y = x + 1 in 2x- y = 3

2x- x - 1 = 3

Evaluate the like terms

x = 4

Substitute x = 4 in y = x + 1

y = 4 + 1

Evaluate

y = 5

Hence, the solution for the system of linear equations 2x- y = 3 and y - x = 1 are x = 4 and y = 5

Read more about system of linear equations at

brainly.com/question/14323743

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How do I solve this?

snow_tiger [21]

Answer:

Step-by-step explanation:

it means we assume that the progression between 2 interval points is linear (a straight line from the begin of the interval to the end of the interval).

so, a length of 9.5 in falls into the interval [9, 11].

in this interval we see that the change rate is (21 - 11)/(11 - 9) = 10/2 = 5/1

that means for every inch longer we expect 5 oz more.

the line equation there is

y = 5x + b

11 = 5×9 + b

11 = 45 + b

-34 = b

so, the line is

y = 5x - 34

for x = 9.5

y = 5×9.5 - 34 = 47.5 - 34 = 13.5 oz

B is with 13.4 the closest right answer.

8 0

2 years ago

What is the measure of angle A in the triangle below? Right triangle A B C is shown. Side B C has a length of 9 and hypotenuse A

klasskru [66]

Answer:

The answer is 30°

Step-by-step explanation:

I finished the test on edgen and passed

8 0

3 years ago

6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP

adelina 88 [10]

Answer:

The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Step-by-step explanation:

Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.

But,

<P = 048°

<Q = $360^{o}$ - $324^{o}$

= 0 $36^{o}$

Sum of angles in a triangle = $180^{o}$

<P + <Q + <S = $180^{o}$

048° + 0 $36^{o}$ + <S = $180^{o}$

$84^{o}$ + <S = $180^{o}$

<S = $180^{o}$ - $84^{o}$

= $96^{o}$

<S = $96^{o}$

Applying the Sine rule,

$\frac{y}{Sin P}$ = $\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin P}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin 48^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{y}{0.74314}$ = $\frac{17}{0.99452}$

⇒ y = $\frac{12.63338}{0.99452}$

= 12.703

y = 12.70 km

$\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{x}{Sin 36^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{x}{0.58779}$ = $\frac{17}{0.99452}$

⇒ x = $\frac{9.992430}{0.99452}$

= 10.0475

x = 10.05 km

Thus,

the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.

6 0

3 years ago

the elephants water tank holds 2560 gallons of water. Afterbtwo weeks the zookeeper measures and finds that the tank has 1944bga

sesenic [268]

2560-1944= 616gallons
7 days in a week or 14 days in two weeks
616gallons / 14days = 44 gallons / 1 day
Notice in the fraction we have
(Gallons / days)
Now if you filled the take up the entire way
2560 gallons
We have gallons and the question wants the amount of days
Thus to cancel gallons we set the equation up as such
(2560 gallons) x (1 day / 44 gallons) = 58.18 days
Or 58 days

6 0

3 years ago

Read 2 more answers

enot [183]

309997373737737464737

8 0

3 years ago