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* WILL GIVE BRIANLIEST* (08.03)A system of equations is given below:

y = 3x + 4
2x + 3y = 10

Which of the following steps could be used to solve by substitution?
3x + 4 = 2x + 3y
2x + 3(3x + 4) = 10
2(3x + 4) + 3y = 10
3(y = 3x + 4)

Respuesta :

apologiabiology
subsitute 3x+4 for y since y=3x+4
this yeilds 2x+3(3x+4)=10
the answer is 2nd line

Answer:  The correct option is

(B) [tex]2x+3(3x+4)=10.[/tex]

Step-by-step explanation:  We are given the following system of linear equations :

[tex]y=3x+4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\2x+3y=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]

We are to select the correct steps that could be used to solve the system by substitution.

We see that the equation gives the value of y and x is the dependent variable. So, substituting the value of y from equation (i) in equation (ii), we get

[tex]2x+3y=10\\\\\Rightarrow 2x+3(3x+4)=10.[/tex]

Thus, the correct steps could be [tex]2x+3(3x+4)=10.[/tex]

Option (B) is CORRECT.

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