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If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the first equation is substituted into the second equation. x + 4y = −9 2x + 5y = −6
2x + 5(4y − 9) = −6 2x + 5(−4y − 9) = −6 2(4y − 9) + 5y = −6 2(−4y − 9) + 5y = −6

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The new equation after the expression equivalent to x from the first equation is substituted into the second equation is: [tex]2(-4y-9)+5y=-6[/tex]

Step-by-step explanation:

We will solve the initial steps for substitution method for finding the correct answer

Given equations are:

[tex]x+4y = -9\ \  \ \ Eqn1\\2x+5y=-6\ \ \ Eqn2[/tex]

From equation one

[tex]x+4y = -9\\x+4y-4y = -9-4y\\x = -4y-9[/tex]

Putting x = -4y-9 in equation 2

[tex]2(-4y-9)+5y=-6[/tex]

Hence,

The new equation after the expression equivalent to x from the first equation is substituted into the second equation is: [tex]2(-4y-9)+5y=-6[/tex]

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/726990
  • brainly.com/question/725998

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