# mATH, ALGEBRA

i need help solving the system by addition.

5x-7y=5
x+3y=1

this is what i think but i am not sure

3y=-x+1
y= -(1/3)x+(1/3)

5x - 7 (-1/3x + 1/3) = 5
5x+2.3333331x-2.3333331=5
7.3333331x-2.3333331=5
7.3333331x=7.3333331
x=1

x+3y=1
1+3y=1
3y=1-1
3y=0
y=0

so my solutions i get is

x = 1 and y = 0

You have the solution ,but you did not get it by addition.

5x-7y=5
x+3y=1

Multiply the second equation by -5
5x-7y=5
-5x-15y=-5

0x - 22y= 0
solve, y=0

5x-7y=5
x+3y=1

Put y=0 into either equation, and solve for x.

1. 👍 0
2. 👎 0
3. 👁 202
1. {5x-3y=11
{3x+y=1

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math

So I've been working on solving this system by addition/subtraction and I just can't get the right answer. Her is the system of equations I was given to solve by add/sub: 3x – y = –12 x + 2y = –18

asked by jririfi on July 20, 2014
2. ### Algebra

When solving a system of equations by the addition method, how do you know when the system has no solution?

asked by Logan on March 14, 2011
3. ### Algebra

When solving a system of equations by the addition method, how do you know when the system has no solution?

asked by Amy L on March 15, 2011
4. ### algebra

Explain why the addition method might be preformed over the substitution method for solving the system 2x – 3y = 10 5x + 2y = 6 What is the solution of this system?

5. ### ALGEBRA

Find the choice below which gives a first step in solving the given system of equations by the addition method 6x - 5y = 12 x + y = 3

asked by TERESA on February 23, 2012
6. ### math 20 system of equations

I have been solving system of equations graphically and using addition and subtraction and now I'm being asked: Give any linear system of two equation that has a solution of (3,5). Does it have to be in y=mx+b form and if so how

asked by Sandi on October 12, 2010
7. ### Algebra

Explain why the addition method might be preferred over the substitution method for solving the system 2x-3y=5 5x+2y=6 Am lost on these.Please help

asked by Logan on March 14, 2011
8. ### Algebra

Explain why the addition method might be preferred over the substitution method for solving the system 2x-3y=5 5x+2y=6

asked by Amy L on March 15, 2011
9. ### MATH

Solving by graphing DQ 1 Solving by substitution Solving by elimination Which method do you think would be best to solve this system? y=10x-8 y=1/2x+5

asked by Anonymous on October 19, 2010
10. ### Chemistry

Consider the following equilibrium: H2CO3 (aq) ↔ H2O (l) + CO2 (g) Which direction will the equilibrium shift (left or right) if we: Increase the pressure by decreasing the volume of the system: Increase the pressure by adding

asked by Anonymous on February 19, 2013

More Similar Questions