Question

x = 3y - 6 2x - 4y = 8 Solve the system of equations using substitution. A) (-12,-2) B) (15,7) C) (21,9) D) (24,10)

Answer 1

Answer:D) (24,10)

Step-by-step explanation:

Answer 2

The solution for the given system of equations is (24, 10). This is calculated by applying the substitution method to the given equations. So, option D) (24,10) is correct.

Substitution method:

The substitution method is the algebraic method that is used to solve the simultaneous linear equations.

The process is as follows:

• Solve one equation for x or y
• Substitute the obtained expression in the other equation
• Simplify the equation to get a solution
• Then, substitute the obtained solution in any one of the equations and solve for the other variable
• Thus, the required solution for the given system of linear equations is obtained

Solving the equations using the substitution method:

Given the system of linear equations as

$x=3y-6\\2x-4y=8$

Since the first equation is expressed for x, substituting that in the second equation

$2(3y-6)-4y=8$

On simplifying the above equation

⇒ $6y-12-4y=8$

⇒ $2y=8+12$

⇒ y=10

Thus, by substituting y=10 in the first equation we get,

⇒ $x=3(10)-6$

⇒ x = 30-6

⇒ x=24

Therefore, the solution for the given system of linear equations is (24,10).

Learn more about the substitution method here:

https://brainly.com/question/3388130

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