Which shows the correct first step to solving the system of equations in the most efficient manner ? 3x+2y=17 x+4y=19

Which shows the correct first step to solving the system of equations in the most efficient manner 3x2y17 x4y19 class=

Respuesta :

The correct answer is option 1: x = -4y+19

Step-by-step explanation:

Given equations are:

[tex]3x+2y=17\ \ \ Eqn1\\x+4y=19\ \ \ \ Eqn2[/tex]

When we have to solve a system of equations using substitution method we look for a variable in both of equations that is without any co-efficient as it is easy to isolate that variable in the equation and then using substitution method to solve it

We can see that in equation 2, x is without any co-efficient

So,

[tex]x+4y = 19[/tex]

Subtracting 4y from both sides

[tex]x+4y-4y = 19-4y\\x = 19-4y\\[/tex]

Can also be written as:

[tex]x = -4y+19[/tex]

Hence,

The correct answer is option 1: x = -4y+19

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/833559
  • brainly.com/question/8054589

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Answer:

The correct answer is option 1: x = -4y+19

Step-by-step explanation: