SOLUTION: I need you to solve these systems by substitution Y=0.5x+2 -y=-2x+4

Algebra.Com
Question 832783: I need you to solve these systems by substitution
Y=0.5x+2
-y=-2x+4
Found 3 solutions by josgarithmetic, LinnW, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Y=0.5x+2
-y=-2x+4
'
That is three different variables.

You mean this:
y=0.5x+2
-y=-2x+4

Solve the second equation for y, and then equate the two expressions of y.
2x-4=0.5x+2
Solve for x, and then use either equation to solve for y.
Answer by LinnW(1048)   (Show Source): You can put this solution on YOUR website!
y=0.5x+2
-y=-2x+4
substitute 0.5x+2 for y in -y=-2x+4
-(0.5x+2)=-2x+4
-0.5x - 1 = -2x + 4
add 2x to each side
1.5x -1 = 4
add 1 to each side
1.5x = 3
divide each side by 1.5
x = 2
Since y = 0.5x + 2 , y = 1 + 2 = 3
y = 3
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

I need you to solve these systems by substitution
Y=0.5x+2
-y=-2x+4


If it's    y = 0.5x + 2 ------ eq (i), and

         - y = - 2x + 4 ------ eq (ii), then:

- (0.5x + 2) = - 2x + 4 ----- Substituting 0.5x + 2 for y in eq (ii)

  - 0.5x - 2 = - 2x + 4

 - 0.5x + 2x = 4 + 2

        1.5x = 6

           , or 



          y = 0.5(4) + 2 ------ Substituting 4 for x in eq (i)

          y = 2 + 2, or 

You can do the check!! 



Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.

Further help is available, online or in-person, for a fee, obviously.  

RELATED QUESTIONS


I need some help on this problem please,

  I need to solve the following systems by... (answered by checkley71)

How do i solve y=0.5x+2 and -y=-2x+4 by systems of substitution?

 (answered by stanbon)

I need help solving these systems by substitution
y=-3x+19... (answered by richwmiller)

I need to solve the systems of equations by elimination and I do not understand how to... (answered by MathLover1,stanbon)

I need to solve these problems they are "solving linear systems by substitution"... (answered by cartert)

(1)
Solve each of the following systems by substitution

5x-2y=-5

y-5x=3





 (answered by HyperBrain)

Could someone help me on this problem?

  I need to solve the follwing systems by... (answered by Cintchr)

I'm learning about these systems and I'm not understanding how to do this.  Is it... (answered by jim_thompson5910)

Could someone be so kind in helping me with this problem?

  I need to solve the... (answered by funmath)