# Math Help

posted by .

This is a substitution equation. Would that change the steps that you did?

Y=3x+1
Y=5x-3

math help - MathMate, Monday, April 23, 2012 at 10:25pm
Y=3x+1 ...(1)
Y=5x-3 ...(2)

By comparison of (1) and (2), we conclude that
3x+1=Y=5x-3
3x+1=5x-3
solve for x to get
2x=4
x=2
Put x=2 in (1) to get
Y=3(2)+1=7
Check:
put x=2 in (2) to get
Y=5*2-3=7

If your program gives x=-2 and y=7, there must be a typo somewhere. Check your post

• Math Help -

y = 3 x + 1

y - 1 = 3 x Divide both sides by 3

( y - 1 ) / 3 = x

x = ( y - 1 ) / 3

y = 5 x - 3

y = 5 * ( y - 1 ) / 3 - 3

y = ( 5 / 3 ) * ( y - 1 ) - 3

y = 5 y / 3 - 5 / 3 - 3

y = 5 y / 3 - 5 / 3 - 9 / 3

y = 5 y / 3 - 14 / 3

y - 5 y / 3 = - 14 / 3

3 y / 3 - 5 y / 3 = - 14 / 3

- 2 / 3 y = - 14 / 3 Multiply both sides by - 3

2 y = 14 Divide both sides by 2

y = 14 / 2

y = 7

x = ( y - 1 ) / 3

x = ( 7 - 1 ) / 3

x = 6 / 3

x = 2

x = 2 , y = 7

Or very simply :

y = 3 x + 1

y = 5 x - 3

3 x + 1 = 5 x - 3

3 x - 5 x = - 3 - 1

- 2 x = - 4 Divide both sides by - 2

- 2 x / - 2 = - 4 / - 2

x = 2

y = 3 x + 1

y = 3 * 2 + 1 = 6 + 1 = 7

y = 5 x - 3

y = 5 * 2 - 3 = 10 - 3 = 7

x = 2 , y = 7

## Similar Questions

1. ### algebra 1

I was just wondering if anybody could explain to me the steps in 'solving systems in substitution' and 'solving systems in substitution with a variable'. I'm majorly confuzled!!!! It might help to post a specific problem so someone …
2. ### Chemistry

Can u help me in balancing the following eqn. through oxidation no. method or half reaction method. Also please show and explain the steps. HNO3(aq.) + KI(aq.) -----> NO(g) + I2(s)+ H2O(l) + KNO3(aq.) Hoping for a quicker response. …
3. ### math

Consider the following students method of solving the proportion 8/5 = 20/x and determine whether the methods were correct: Richie: First I divided 20 by 8 and got 2 1/2. Then I multiplied 2 1/2 by 5 and got 12 1/2 for my answer. Martha: …

What is the pH of a 5.06E-2 M aqueous solution of sodium acetate?
5. ### English

Homework Help: history Posted by rfvv on Monday, April 9, 2012 at 8:18am. What is the origin of the fortune cookie?

.50 - x / x = 3.20e-1 I need to solve for x. I was going to do .50 X 3.20e-1 and then take the square root but this is not correct. I am not sure what to do. Thank you for your help. Math(Please help) - Reiny, Tuesday, April 17, 2012 …
7. ### Chemistry

.50 - x / x = 3.20e-1 I need to solve for x. I was going to do .50 X 3.20e-1 and then take the square root but this is not correct. I am not sure what to do. Thank you for your help. Math(Please help) - Reiny, Tuesday, April 17, 2012 …
8. ### Math

Annie likes to walk 2 steps, jump 2 steps and then skip 2 steps. If she does this pattern over and over again for a total of 52 steps, how many jumping steps will she make?
9. ### math

Annie likes to walk 2 steps, jump 2 steps and then skip 2 steps. If she does this pattern over and over again for a total of 52 steps, how many jumping steps will she make?
10. ### Math

Could someone please help me. Solve the linear equation by substitution. Y=10-2.2x 5x+y=70 For the first equation I am getting x=21.4 and for the second equation I am getting y=-37. The answers are 21 3/7 and -37 1/7. Could you show …

More Similar Questions