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

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

a. Solve for x in the first equation.
b. Solve for y in the first equation.
c. Solve for x in the second equation.
d. Solve for y in the second equation.

Respuesta :

apologiabiology
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
1BlazeRyder
Well, it says to avoid fractions. So I did the math: 

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

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

Solving for x in the second equation gets you: [tex]x=4-3y[/tex]

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

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! =) 

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