Algebra 1

Substitution

x - 5y=10
2x - 10y=20

  1. 👍 0
  2. 👎 0
  3. 👁 709
  1. The equations are the same (divide the second equation by 2). There is no solution.

  2. to do substitution: you choose one equation, then represent one of the variables in terms in terms of the other. and finally substitute it the the other equation.

    (1) x - 5y = 10
    (2) 2x - 10y = 20

    here, let's choose equation (1), and let's represent x in terms of variable y:
    x - 5y = 10
    x = 5y + 10
    then we substitute this to equation (2):
    2x - 10y = 20
    2(5y + 10) - 10y = 20
    10y + 20 - 10y = 20
    20 = 20

    note that when you come with this answer (constant = constant), this means that the lines are coinciding, meaning any point can be a solution, because the equations are "equal". if you observe equation (2), we can factor out 2:
    2x - 10y = 20
    2(x - 5y) = 2(10)
    x - 5y = 10
    it becomes equation (1).

    hope this helps~ :)

    1. 👍 1
    2. 👎 0
  3. X+4y=8
    2x-5y=29

    1. 👍 0
    2. 👎 0
  4. THANK SOOOOO MUCH!!!

    1. 👍 0
    2. 👎 0
  5. 5x+5y=16 10x-10y=20

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra PLEASE HELP!!

    What advantages does the method of substitution have over graphing for solving systems of equations? Choose the correct answer below. A. Graphing cannot be used to solve dependent or inconsistent systems due to the nature of the

    asked by zwgz123 on December 15, 2017
  2. Math check

    1.(2x)(10x) A)20x* B)12x C)20x^2 D)5x 2.-3m(m + 8) A)-3m^2 + 24 B)-3m^2 - 24m C)-24m D)-4m + 5* 3. 4d(2d-9) A)8d - 36d* B)-d C)-28d^2 D)8d^2 - 36d 4. (3x + 4)(x-2) A)3x^2 - 2x - 8 B)x - 8 C)3x - 2x - 8* D)3x^2 + 2x + 8 5. (2y -

    asked by Oscar on March 21, 2015
  3. Math

    1. Explain the advantages and disadvantages of both the substitution method and the elimination method for solving a system. Help please. The only reasons I can think of is because in substitution it might be more difficult cause

    asked by Amanda on February 18, 2008
  4. Please help-algebra

    A lawn care company charges a $10 trip fee plus $0.15 per square foot of x square feet of lawn for fertilization. Which equation represents the relationship? a. x= 0.10y+15 b. y= 0.15x+10 c. y= 10x+0.15 c. x= 10y+0.15 *

    asked by karly on October 29, 2014
  1. Calculus

    Let f(x)=cosxsqrt(1+sinx). A. Let F(x)=the integral of f(x)dx and F(0)=5/3, find F(pi/2). I got 3.386 with U-substitution B. If G(x)=the integral of f(x)sinxdx and G(0)=1/3, find G(x). I got a reply to this but I did not

    asked by Anonymous on February 13, 2015
  2. Geometry

    Substitution Property of Equality: If a=20, then 5a= _____. The substitution rule states that If a=b then a can be substituted for b in any equation or expression. So I think that 5a=5b but the number answer is 100. Am I correct?

    asked by David on October 2, 2013
  3. PLEASE HELP ME! PLEASE!

    1 )3x + 8y = 1 7x + 4y = 17 Answer: (3,1) 2) -3x + 5y = -7 9x + 2y = 38 Answer: (4,1) 3) 7r + 3s = 13 14r - 15s = -16 Answer: (1,2) 4) 2x - 7y = 42 4x - 14y = 64 Answer: No Solution ?? 5) 9x + 12y = 15 3x + 4y = 5 Answer: Identity

    asked by Veronica on February 25, 2009
  4. Algebra 2

    "My husband's age," remarked a lady the other day, "is represented by the figures of my own age reversed. He is my senior, and the difference between our ages is one-eleventh of their sum." 10x + y = husband's age 10y + x = wife's

    asked by Anonymous on October 25, 2011
  1. Algebra

    1. Write an equation in point-slope form for the line through the given point with the given slope. (-10,-6);m=-5/8 A. y-6=-5/8(x-10) B. y-6=-5/8(x+10) C. y+6=-5/8(x+10) D. y+10=-5/8(x+6) 2. The table below shows the height of a

    asked by Cami on January 12, 2016
  2. math

    Find the product 1. (2x)(10x) (1 point) 20x 12x 20x^2 5x 2. –3m(m + 8) (1 point) –3m2 + 24 –3m2 – 24m –24m^2 –4m + 5 3. 4d(2d – 9) (1 point) 8d – 36d –d –28d^2 8d^2 – 36d 4. (3x + 4)(x – 2) (1 point) 3x^2

    asked by zumai on May 21, 2014
  3. Mathematics

    Determining the number of seating arrangements with 10 people in 7 chairs required use of ? Combination Permutation** Probability Substitution Determining the number of 3 person committees formed from a club with 12 members

    asked by Maria on May 10, 2019
  4. math (last question #5) @Damon

    5. (2y – 1)(4y – 3) (1 point) –2y + 3 8y^2 – 10y – 3 8y^2 – 10y + 3 8y^2 – 2y + 3 i did the rest (#1 and #3) but im stuck on #5, can u help Damon? thanx

    asked by zumai on May 21, 2014

You can view more similar questions or ask a new question.