Question

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

Answer 1

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

Step-by-step explanation:

Given equations are:

$3x+2y=17\ \ \ Eqn1\\x+4y=19\ \ \ \ Eqn2$

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,

$x+4y = 19$

Subtracting 4y from both sides

$x+4y-4y = 19-4y\\x = 19-4y$

Can also be written as:

$x = -4y+19$

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 2

Answer:

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

Step-by-step explanation: