Question

2. Use the linear combination method to solve the system of equations. Explain each step of your solution

Answer 1

x = - 3

y = -2

Step-by-step explanation:

3x - 8y = 7

x +2y = -7

We standardize the coefficient of one variable such that it addition will result to zero;

3x - 8y = 7

(x +2y = -7)4

Then multiply the one equation with a constant (this case 4) to get;

3x – 8y = 7

4x + 8y = - 28

We add the two equations;

3x – 8y = 7

+

4x + 8y = - 28

=

7x = - 21

x = -21 / 7

x = - 3

Now we evaluate y by replacing the value of x with -4 in one of the equation;

x +2y = -7

-3 +2y = -7

2y = -7 + 3

2y = - 4

y = -2

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