If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

Question

3 years ago

8

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

t 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

Mathematics

1 answer:

alexandr1967 [171] · Answer 1 · 2022-02-15T18:11:15+03:00

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

Step-by-step explanation:

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

Given equations are:

$x+4y = -9\ \ \ \ Eqn1\\2x+5y=-6\ \ \ Eqn2$

From equation one

$x+4y = -9\\x+4y-4y = -9-4y\\x = -4y-9$

Putting x = -4y-9 in equation 2

$2(-4y-9)+5y=-6$

Hence,

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

Keywords: Linear equations, variables

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