Question

What is the best first step for solving the given system using substitution while avoiding fractions?

Answer 1

Well, it says to avoid fractions. So I did the math: 

Solving for x in the first equation get you: $x= \frac{7}{2}-3y$

Solving for y in the first equation gets you:$y= \frac{7}{6} - \frac{2}{6}x$

Solving for x in the second equation gets you: $x=4-3y$

Solving for y in the second equation gets you:$y= \frac{24}{18} - \frac{6}{18}x$

If you look you can see the only option that does not give you fractions is if you solve for x in the second equation. So your answer is c! I hope this helps! =) 

Answer 2

Solve with subsitution avoiding fractions

2x+6y=7
6x+18y=24

if we solve for x in first, we get x=-3y+7/2, has fractions so no
if we solve for y in first, we get y=-x/3+7/6, has fractions so no
if we solve for x in the 2nd, we get x=-3y+4, no fractions so yay
if we solve for y in the 2nd, we get y=-x/3+4/3, has fractions so no


answer is C