For the following system, if you isolated x in the second equation to use the substitution method, what expression would you substitute into the first equation? 2x + y = 8 −x − 3y = −12 a 3y + 12 b −3y + 12 c 3y − 12 d −3y − 12

Answers

Answer 1

Isolating x in the second equation, the expression that would be replaced into the first equation to solve the system of equations is given as follows:

b. -3y + 12.

How to solve the system of equations?

The system of equations for this problem, with variables x and y, is defined as follows:

2x + y = 8.-x - 3y = -12.

The second equation of the system is given as follows:

-x - 3y = -12.

The first step to isolate x is move the -3y term to the opposite side of the equality, with an addition symbol, which is the inverse of the negative symbol, hence:

-x = 3y - 12.

As the leading coefficient of x is negative, the entire expression must be multiplied by -1, hence:

x = 12 - 3y.

x = -3y + 12(commutative property).

Meaning that the correct option is given by option b.

More can be learned about a system of equations at https://brainly.com/question/24342899

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Answer 2

Answer: (b) -3y + 12.

To use the Substitution Method, we would isolate x in the second equation, which gives:

-x = 3y - 12

Multiplying both sides by -1, we get:

x = -3y + 12

We can then substitute this expression for x into the first equation, which gives:

2(-3y + 12) + y = 8

Simplifying this expression, we get:

-5y + 24 = 8

Subtracting 24 from both sides, we get:

-5y = -16

Finally, dividing both sides by -5, we get:

y = 16/5

Therefore, if we isolate x in the second equation, we would substitute x = -3y + 12 into the first equation.

So the expression we would substitute into the first equation is -3y + 12.

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