Solved by the subsitution method?

Question

15x-10y=5

5y= -2+5x

the solution is ______

Appreciated anybody that actually helps

Answer 1

Solve one equation for x:

15x = 10y + 5

x = (10y + 5) / 15

Substitute in other equation for x

5y = -2 + 5((10y + 5) / 15)

Solve for y

5y = -2 + ((50y + 25) / 15)

75y = -30 + 50y + 25

75y = 50y - 5

25y = -5

y = 1/5

Substitute back for y

5(1/5) = -2 + 5x

Solve for x

1 = -2 + 5x

3 = 5x

x = 3/5

Answer 2

you need to rearrange one of the equations to have a variable isolated.

i'd start by dividing the second equation by 5 to get y by itself.

then u can insert (-2+5x)/5 into the first equation as y, and then you can solve that equation for x. after you get that answer you can take your x value and insert it into the second equation to get your y value.

Answer 3

1) change 5y=-2+5x into y=-2/5 +x

2) 15x -10(-2/5+x)

3) 15x +4 -10x= 5x+4=5

4) 5x=1, x=1/5

5) 5y= -2 + 1

6) 5y= -1

Final Answer: x=1/5, y=-1/5

Answer 4

x=1/5

y=-1/5

if you want a step-by-step method just write and i'll be happy to help u

Answer 5

15x-10y=5

5y= -2+5x

Since 5y= -2+5x, why not just double it to get 10y

2(5y) = 2(-2+5x)

10y = - 4 + 10x

so 15x - (- 4 + 10x) = 5

15x + 4 - 10x = 5

5x + 4 = 5

5x = 1

x = 1/5

5y = - 2 + 5* 1/5

5y = - 2 + 1

5y = -1

y = -1/5 or - .2

Answer : ( 1/5 , -1/5)

Good luck to you !

Answer 6

To solve by substitution, you need to get one variable in terms of the other, and then plug it in.

Lets use your first equation.

15x - 10y = 5

Firstly, move the y's on over to the other side.

15x = 10y + 5

Next, divide by 15 to isolate x.

x = 2/3y + 1/3

Lets plug that into your second equation now.

5y = -2 + 5(2/3y + 1/3)

Distributing the 5 here.

5y = -2 + 10/3y + 5/3

Now multiplying by 1/3 in order to clear the fractions.

15y = -6 + 10y + 5

Alright, now get the y's on one side and the constants on the other.

5y = -1

Just divide by 5 to get your answer.

y = -1/5

Alright, now I will plug that into your first equation in order to get x.

15x - 10(-1/5) = 5

Multiplying the 10 and 1/5.

15x + 2 = 5

Now moving the 2 onto the other side.

15x = 3

Finally, divide by 15 to get x.

x = 1/5

***So your answer is:***

(x, y) = {1/5, -1/5}.

Lets just check that just in case.

15(1/5) - 10(-1/5) = 5

3 - (-2) = 5

5 = 5

Because you got a true statement, you know that is correct.

Answer 7

from(2) ... y= -2/5 +x

15x - 10(-2/5 +x) = 5

15x +4 - 10x = 5

5x +4 = = 5

5x = 1

x = 1/5 ...........y= -2/5 + 1/5 = -1/5

15(1/5) -  10(-1/5) = 25/5 ?

3  - (-2) = 5 check