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you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the second equation is substituted into the first equation. 2x − 3y = −29 x + 4y = 13

Respuesta :

texaschic101
x + 4y = 13
x = -4y + 13....now we sub this into the first equation

2x - 3y = -29
2(-4y + 13) - 3y = -29 <=====
-8y + 26 - 3y = -29
-11y + 26 = -29
-11y = -29 - 26
-11y = -55
y = 55/11
y = 5

x = -4y + 13
x = -4(5) + 13
x = -20 + 13
x = -7
akposevictor

Using the substitution method, the solution to the system of linear equations is: x = -7 and y = 5.

What is the Substitution Method?

The substitution method used in solving a system of linear equations involves substituting a variable for an expression into the other equation given.

Given the system:

2x − 3y = −29 - eqn. 1

x + 4y = 13 - eqn. 2

Rewrite eqn. 2

x = 13 - 4y

Substitute x = 13 - 4y into eqn. 1

2(13 - 4y) − 3y = −29

26 - 8y - 3y = -29

-11y = -29 - 26

-11y = -55

y = 5

Plug in the value of y into x = 13 - 4y:

x = 13 - 4(5)

x = -7

The solution is: x = -7 and y = 5

Learn more about the substitution method on:

https://brainly.com/question/22340165

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