If h(x) = - 2x+5 solve for x when h(x) = 3.

Answer 1

Hi Nyra,

According to transitive Property of equality :  If a =b and b = c then a = c

In this problem you are given with 2 equations:

                                 h(x) = - 2x + 5  ---- 1

                                 h(x) = 3           ------ 2

Apply transitive Property of equality to equation 1 and 2

- 2x + 5   =  3    Now solve for x.

  -2x  + 5 - 5   = 3 – 5           subtract 5 on both sides.

     -2x = -2                              

    (-2x)/(-2) = (-2) / (-2)        Divide with -2 on both sides.

     X = 1

I hope this helps.

Answer 2

First, since h(x) equals -2x+5 and also equals 3, we can set the two equal to eachother. Recall if A=B and B=C, then A=C. So, If -2x+5 = h(x) and h(x)=3, then -2x+5 = 3.

Next we want to solve for x, so we would isolate x in -2x+5=3 by subtracting 5 from the left side and right side of the = sign to get rid of the +5, making -2x=3-5 = -2. Then we would divide both sides by -2 to get rid of the -2 in -2x, making -2x/-2 = -2/-2. We simplify and get x=1.

We can check our answer by plugging x=1 back into the original equation h(x)=-2x+5, and seeing if the outcome is 3 (coming from h(x)=3).

—> h(x)=-2(1)+5 = -2+5 = 3

Since the answer comes out as 3, we are sure that x=1 when h(x)=-2x+5 and h(x)=3