If x=4y, and x+y=10, what are the values for x and y?

Question

Please help me solve so I can help my son with this problem.

Answer 1

ok, if x = 4y and x + y =10, then 4y + y = 10. So add the y's together, and 5 y = 10. Divide both sides by 5 and y = 2. So take that two and put it in your original equation of x = 4y. We know y = 2, so x = 4 (2). Therefore x = 8. The answer is x=8, and y=2

Answer 2

difficulty #a million: Eq1. 2x - 3y = 12 Eq2. x = 4y + a million all of us comprehend that x is comparable to 4y + a million, so we are in a position to replace that for the period of for x in the 1st Equation: Eq1. 2x - 3y = 12 2(4y+a million) - 3y = 12 Now basically resolve for y. 8y + 2 - 3y = 12 5y + 2 = 12 5y = 10 y = 2 Now which you comprehend y, you may basically plug your y cost into the 2nd Equation to discover x. Eq2. x = 4y + a million x = 4(2) + a million x = 8 +a million x = 9 So, the respond on your first difficulty is: x= 9, y = 2. difficulty #2: Eq1. y = -x + 5 Eq2. x - 4y = 10 You try this difficulty in virtually the precise same way. the only significant distinction is that, in this difficulty, you initiate with Equation 2 somewhat of Equation a million. So, i will basically tutor all the stairs without in-intensity motives. Eq2. x - 4y = 10 x - 4(-x +5) = 10 x + 4x - 20 = 10 5x - 20 = 10 5x = 30 x = 6 Eq1. y = -x + 5 y = -(6) + 5 y = -6 + 5 y = -a million So, the respond on your 2nd difficulty is: x = 6, y = -a million. i wish this proves to be effective. I did my superb to tutor each and every step, with the intention to no longer reason any confusion... yet once you have any questions approximately what I did, be at liberty to deliver an digital mail my way and ask! good success!

Answer 3

If x = 4y, you can substitute x for 4y in your next equation to get 4y + y = 10.

This results in 5y = 10, where y = 2.

Therefore, 4y = 4 x 2 = 8 = x.

Plug in the numbers to get 8 = 4 x 2, or 8 + 2 = 10.

Answer 4

X=4 AND Y=6

Answer 5

Since x=4y, you can replace all x with 4y. So 4y+y=10, which means 5y=10, which means y=10/5=2. And since x=4y, x=4*2=8. So y=2 and x=8. This method of replacement can be very useful when solving simple equation systems.

Answer 6

Use www.purplemath.com (it works!)
Using the substitution method:
Plug the x=4y into the problem by replacing 4y with every x in the problem
(4y)+y=10 ... 5y=10 ... y=2
now that you know y, plug it back into one of the functions
x=4(2) .... x = 8
The answer is y=2 and x=8

Answer 7

y= 2 and x= 8

basically it is asking what number when you mulitply it times 4 and then add it to itself =10 The answer is 2 if x=4y then x must = 8

Answer 8

4y+y=10
y(4+1)=10
5y=10
5=10/5=2

now go back and substitute 2 for y and get the answer for x

Answer 9

x+y=10

you would sub in the 4y for x in this statement, since x=4y.

so...

4y+y=10
5y=10 (divide each by 5)
y=2

Answer 10

first solve for Y

4y + y = 10,

5y = 10

y = 2

if y = 2

and x = 4y

then x = 8, y = 2