Question

Solve the following system using the substitution method.enter your answer as an ordered pair in the form (x,y,) 3x - 2y = 11 5x + 10y = 5

Answer 1

Let's determine the solution using the Substitution Method:

3x - 2y = 11 (Equation 1)

5x + 10y = 5 (Equation 2)

5x + 10y = 5

5x = -10y + 5

5x/5 = (-10y + 5)/5

x = -2y + 1 (Substitute to Equation 1)

3x - 2y = 11

3(-2y + 1) - 2y = 11

-6y + 3 - 2y = 11

-6y - 2y = 11 - 3

-8y = 8

-8y/-8 = 8/-8

y = -1 (Substitute to Equation 1)

3x - 2y = 11

3x - 2(-1) = 11

3x + 2 = 11

3x = 11 - 2

3x = 9

3x/3 = 9/3

x = 3

Therefore, the solution to the given set of systems of equations is x, y = 3, -1.