Question

What is the best first step for solving the given system using substitution while avoiding fractions -9x+4y=10 -9x+3y=3

Answer 1

Answer:

Solve for x in the second equation.

Step-by-step explanation:

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Answer 2

Answer:

The best first step for solving the given system using substitution is substitute the value of -9x from equation 1 in equation 2

Step-by-step explanation:

Given : $-9x+4y=10$

            $-9x+3y=3$

To Find: What is the best first step for solving the given system using substitution?

Solution:

$-9x+4y=10$  --1

$-9x+3y=3$   --2

Since we are supposed to solve these equations using substitution method

So, the first best step for solving the equation is :

Both the equations contains -9x

So, substitute the value of -9x from equation 1 in equation 2

$10-4y+3y=3$

$10-y=3$

$y=7$

Substitute the value of y in 1 to get value of x

So,  $-9x+4(7)=10$  

$-9x+28=10$  

$9x=18$  

$x=2$  

Thus the solution is (2,7)

Hence the best first step for solving the given system using substitution is substitute the value of -9x from equation 1 in equation 2