All categories

2 years ago

Solve the system by substitution. 4x + 2y = 10 x − y = 13

Mathematics

2 answers:

Rainbow [258]2 years ago

8 0

answer are attached in pic hope it's helpful for you

value of x =6

y =7

ziro4ka [17]2 years ago

5 0

Answer:

$\boxed{\tt (6,-7)}$

Step-by-step explanation:

$\tt 4x + 2y = 10\\x - y = 13$

First Let's solve for x in x-y=13

$\tt x-y=13$

Add y to both sides:

$\tt x=13+y$

Now, Substitute x=13+y into 4x+2y=10:-

Let x=13+y

$\tt 4(13+y)+2y=10$

$\tt 52+6y=10$

Now, let's solve for y in 52+6y=10:-

$\tt 52+6y=10$

Subtract 52 from both sides:-

$\tt 6y=10-52$

$\tt 6y=-42$

Divide both sides by 6:-

$\tt \cfrac{6y}{6} =\cfrac{-42}{6}$

$\boxed{\tt y=-7}$

Now, we'll Substitute y=-7 into to x=13+y to find "x":-

$\tt x=13+y$

$\tt x=13+-7$

$\boxed{\tt x=6}$

___

You might be interested in

Find the general solution to 1/x dy/dx - 2y/x^2 = x cos x, y(pi) = pi^2

Finger [1]

Answer:

$\frac{y}{x^2}=\sin x+\pi$

Step-by-step explanation:

Consider linear differential equation $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$

It's solution is of form $y\,I.F=\int I.F\,q(x)\,dx$ where I.F is integrating factor given by $I.F=e^{\int p(x)\,dx}$ .

Given: $\frac{1}{x}\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x^2}=x\cos x$

We can write this equation as $\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x}=x^2\cos x$

On comparing this equation with $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$ , we get $p(x)=\frac{-2}{x}\,\,,\,\,q(x)=x^2\cos x$

I.F = $e^{\int p(x)\,dx}=e^{\int \frac{-2}{x}\,dx}=e^{-2\ln x}=e^{\ln x^{-2}}=\frac{1}{x^2}$ { formula used: $\ln a^b=b\ln a$ }

we get solution as follows:

$\frac{y}{x^2}=\int \frac{1}{x^2}x^2\cos x\,dx\\\frac{y}{x^2}=\int \cos x\,dx\\\\\frac{y}{x^2}=\sin x+C$

{ formula used: $\int \cos x\,dx=\sin x$ }

Applying condition: $y(\pi)=\pi^2$

$\frac{y}{x^2}=\sin x+C\\\frac{\pi^2}{\pi}=\sin\pi+C\\\pi=C$

So, we get solution as :

$\frac{y}{x^2}=\sin x+\pi$

4 0

4 years ago

Plz help me I’m a desperate little boy

Lubov Fominskaja [6]

Answer:

They would be going at 56 miles per hour.

Step-by-step explanation:

You just take the miles they traveled (1,750) and divide it by the hours it took to get ther (31) the equation qould look like this 1,750 / 31 = 56

miles per hour is measured by how far you go and how long it takes to get there!

3 0

4 years ago

Read 2 more answers

What is the slope of the line 2x – 5y = 12 ?

Llana [10]

Answer:

2x−5y=12

y = 2/5x + −12/5

Answer is x = 5/2y + 6 because....

First, Add 5y to both sides.

2x − 5y + 5y = 12 + 5y

Then, Divide both sides by 2.

$\frac{2x}{2} = \frac{5y+12}{2}$

Therefor, your answer is going to be x = 5/2y + 6

* Hopefully this helps:) Mark me the brainliest:)!!!

8 0

3 years ago

Read 2 more answers

In the circle below, O is the center and mĞ= 128° What is the measure of angle HIG?

Paul [167]

Answer:

26 degrees.

Step-by-step explanation:

From the figure it is clear that HI is the diameter and $acr(GI)=128^{\circ}$ . So,

$\angle GOI=128^{\circ}$

$\angle GOI+\angle GOH=180^{\circ}$ (linear pair)

$128^{\circ}+\angle GOH=180^{\circ}$

$\angle GOH=180^{\circ}-128^{\circ}$

$\angle GOH=52^{\circ}$

Using central angle theorem of a circle, we get

$\angle HIG=\dfrac{\angle GOH}{2}$

$\angle HIG=\dfrac{52^{\circ}}{2}$

$\angle HIG=26^{\circ}$

Therefore, the measure of angle HIG is 26 degrees.

7 0

3 years ago

What is the resulting number when you add 5 ten thousands to 932,000?

ipn [44]

The answer would be 932,000.005

7 0

4 years ago

Read 2 more answers