Answer:
11 A. p-r=x B. a+b+c=x C. x=z-3y D. x=2p E. [tex]2a^{2}[/tex]=x F. x=p+2mn
12 A. [tex]\frac{m}{n}[/tex]=y B.y=[tex]\frac{a}{b^{2} }[/tex] C.[tex]\frac{p+3}{q}[/tex] =y D.[tex]\frac{g-h}{f}[/tex]=y E. y= [tex]\frac{x}{ab}[/tex] F.y=[tex]\frac{r}{6.14}[/tex]
Step-by-step explanation:
11. a.For all I did was to eliminate r on one side by subtracting it and doing it to the other side and get x by itself
b. This equation I just added c on both sides and got x all by itself and got a+b+c=x
c. I subtracted 3y on both sides to leave x by itself and get x=z-3y
d. I combined like terms and since I subtract 3p to cancel it off and I do it to the other side and combine 5p and -3p and get 2p and to finalize it my answer was x=2p
e. Same process as the last equation I combine like terms and [tex]ax^{2}[/tex]+a itself is [tex]2a^{2}[/tex] so
f.on this one I would also combine like terms since there are 2 mn's so I would cancel out -mn by adding mn and doing it to the same side and mn+mn=2mn, and no changes to p so x=p+2mn.
12. A.any variable attached to another variable is a sign of multiplication, so I can do the inverse to get y itself by dividing by n and do the same to the other side. [tex]\frac{m}{n}[/tex]=y.
B. I divided b^2 from b^2y and did it on both sides, and my new answer will be y=[tex]\frac{a}{b^{2} }[/tex]
C. to get y by itself, I need to divide q on both sides but the most important thing is what im gonna divide q by and that's p+3 so when I do that I get[tex]\frac{p+3}{q}[/tex] =x
D. first I subtracted h on both sides and the new equation is g-h=fy. But I'm not done yet because y is still not by itself. So now I will divide f on both sides and get [tex]\frac{g-h}{f}[/tex]=y.
E. Same method as last time we just divide the variables on both sides. ab divided on both sides and my final equation will be y= [tex]\frac{x}{ab}[/tex].
F. This one seems more complex in terms of strategizing this out. So what I did is that I used the distributive property for y([tex]\pi[/tex]+2) and when solving it out I got 3.14y+2y=r. Now, I can combine the like terms and solve for y after. 3.14y+2y=6.14y. I can divide 6.14 on both sides to get y by itself and my final answer will be y=[tex]\frac{r}{6.14}[/tex].
