Question

Solving the following system using the elimination or the substitution method.

Answer 1

Answer and Step-by-step explanation:

For these system of equations, it would be easier to use the substitution method, as we are have one equation that is being equaled to a variable.

Plug the second equation into the value of b for the first equation.

5a + 3(-2a + 3) = 11

Distribute the 3.

5a - 6a + 3 = 11

Simplify.

-a + 3 = 11

Subtract 3 from both sides of the equation.

-a = 8

Divide both sides by -1.

a = -8

Now, we can plug this value into the second equation.

-2(-8) + 3 = b

Multiply -2 and -8 together.

16 + 3 = b

Add together 16 and 3.

19 = b

a = -8

b = 19

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