How do I do this.?(Math.)

posted by .

Use the Substitution method to solve the system of equations.

y - 2x = -5
3y - x = 5

Solve one of the equations for x or y.

Let's solve the first one for y:
y - 2x = -5
y = 2x - 5

Now let's substitute 2x - 5 for y in the second equation to solve for x:
3(2x - 5) - x = 5
6x - 15 - x = 5
5x - 15 = 5
5x = 20
x = 4

Substitute 4 for x in either equation to solve for y. Let's choose the first one.
y - 2(4) = -5
y - 8 = -5
y = 3

There you have it! Check the solution with both equations to make sure we have the right solutions. It always helps to check your work!

I hope this will help.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Substitution Method

    Use the Substitution method to solve the system of equations. x + y = -4 x - y = 2 x + y = -4 x - y = 2 In the second equation, x= y+2 Putting that in the first.. (y+2) + y= -4 subtract two from each side, then divide each side by …
  2. Substitution Method-Plz help

    Use the Substitution method to solve the system of equations. x + y = -4 x - y = 2 solve for x in the second equation. x= y+2 Put that in for x in the first equation: x+y=-4 (y+2) + y = -4 solve for y. Then, x= y+2 i don't get it.How …
  3. Algebra 1 HELP PLZ!!!

    Use the Substitution method to solve the system of equations. x + y = -4 x - y = 2 PLz HELP!! I'M NOT BOB BUT I CAN HELP ITS REALLY SIMPLE ALGEBRA X + Y = -4......EQN 1 X - Y = 2.....EQN 2 From EQN 2, let x = 2 + y Substitute that …
  4. subsitution method

    Can some one show me how to use the Substitution method to solve the system of these equations. x + y = -4 x - y = 2 x + y = 10 y = x + 8 on the first set. Solve for either x or y in either equation, then put that value into the other …
  5. calculus

    When using the substitution method to solve a nonlinear system of equations, you should first see if you can _____ one variable in one of the equations in the system.
  6. Linear Equations

    Can you please help solve this equation using the substitution method?
  7. algebra

    i need help with these problems (either a solution or how to plug them into a graphing calculator): 1) Solve by substitution or elimination 4/x + 1/y + 2/z = 4 2/x + 3/y - 1/z = 1 1/x + 1/y + 1/z = 4 2)Solve the system of equations …
  8. algebra

    Can someone please help. When you solve a system of equations by the substitution method, how do you determine whether the system of equations is inconsistent?
  9. algebra

    Can someone help me figure this out please?
  10. Algebra

    I can find no solution to this system of equations. Solve the system of equations using the substitution method 2x + 4y = -2 2x - y = 4

More Similar Questions