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4 years ago

Find the solution of this system of equations -x-4y=37 -2x-4y=-53

Mathematics

2 answers:

mixer [17]4 years ago

7 0

Answer:

X=90, y =-127/4

Step-by-step explanation:

Subtract the second equation from the first and you get X+ 0y= 90. Replace x=90 in either equation and you get y= -127/4.

Lelu [443]4 years ago

5 0

Answer:

Final answer is x=90, $y=-\frac{127}{4}$

Step-by-step explanation:

Given equations are:

-x-4y=37 ...(i)

-2x-4y=-53 ...(ii)

multiply (ii) by -1

2x+4y=53 ...(iii)

Add (i) and (iii)

x=90

plug value of x=90 into (i)

-x-4y=37

-90-4y=37

-4y=37+90

-4y=127

$y=-\frac{127}{4}$

Hence final answer is x=90, $y=-\frac{127}{4}$

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Mark bought gifts for his friends, and each gift cost $9. Let y represent the total cost and x represent the number of gifts. Wr

olga nikolaevna [1]

Answer:

y = 9x

Step-by-step explanation:

You can set up linear equations like this: y = mx + b, where m is the slope or rate, and b is the y-intercept.

9 would be the slope, since he has to pay $9 per gift.

The y-intercept is when x = 0, but if he doesn't buy any gifts, he won't have to pay anything, so b = 0. You don't have to include it since it's 0.

So, it's just y = 9x

Hope that helps! :D

3 0

3 years ago

Read 2 more answers

3.1 Find the equation of the line passing through (4, 5) and parallel to the line 3x – 2y = 4.

valentinak56 [21]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Find the equation of the line passing through (4, 5) and parallel to </em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

$\rightarrow$ First, add 2y on both sides:-

$\Large\textsf{3x+2y=4}$

$\rightarrow$ Now, subtract 3x on both sides:-

$\Large\textsf{2y=-3x+4}$

$\rightarrow$ Divide by 2 on both sides

$\Large\text{$y=-\displaystyle\frac{3}{2}x +2$}$

$\rule{300}{3}$

Now, let's find the equation of the line that's parallel to the given line.

Remember, if lines are parallel to each other, then their slope's the same.

So the slope of the line that's parallel to the line whose equation we just found, is

$\Large\text{$-\displaystyle\frac{3}{2}$}$

Now let's write the equation in point-slope form:-

$\hookrightarrow\sf{y-y_1=m(x-x_1)}$

Replace numbers with letters, as follows:-

$\sf{y-5=-\displaystyle\frac{3}{2} (x-4)}$

The equation above is the equation in point-slope form.

Incase you need it converted to slope intercept form, refer to the steps below ~

Multiply -3/2 times x and -4:-

$\hookrightarrow\sf{y-5=-\displaystyle\frac{3}{2} x-6}$

Now, Add 5 on both sides:-

$\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}$

$\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{300}{1}$

4 0

2 years ago

ASAP!!!!<br> Solve for C, please!!!

Vladimir [108]

That forms a right triangle, so use the Pythagorean theorem. 5^2+2^2=c^2
25+4=c^2
c=√29
Hope this helps

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3 years ago

The bike portion of an ironman competition is 112 miles. Your friend says that if you continue to bike at this pace, you will be

Roman55 [17]

We have no clue because you have not said what the speed/pace is. At a speed of 17.23 mph you will bike 112miles in 6.5 hours.

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3 years ago

What is the value of 1 3/4 in decimal form

Luba_88 [7]

The answer would be, 1.75 because 3/4 of 1 is 75% pulse you spreading have a whole, so 1.75.

3 0

4 years ago

Read 2 more answers