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erastova [34]
3 years ago
9

Combine like terms to create an equivalent expression 2s+ (-4s) pls help

Mathematics
1 answer:
pav-90 [236]3 years ago
5 0

The equivalent expression to 2s + (-4s) is -2s.

Step-by-step explanation:

Step 1:

In sums like these, it is easier to take the common term out of the simplification.

In the expression 2s + (-4s), the common term between 2s and -4s is the term s. So we take the term s as the common factor.

So taking s out of 2s + (-4s) we get s (2+(-4)).

Step 2:

If we multiply a positive with a negative we get a negative. S0 +(-4) = -4.

2s + (-4s) = s (2-4) = s(-2) = -2s.

So the equivalent expression to 2s + (-4s) is -2s.

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For what value of k does the equation 6(x + 1) + 2 = 3(k5x + 1) + 3 have no solution?
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Answer:

k = (6/15)

Step-by-step explanation:

The equation is:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

To have no solutions, we need to have something like:

x + 7 = x + 4

where we can remove x in both sides and end with

7 = 4

So this equation is false, meaning that there is no value of x such that this equation is true, then the equation has no solutions.

First, let's try to simplify our equation:

6*(x + 1) + 2 = 3*(k*5*x + 1) + 3

6*x + 6 + 2 = 3*k*5*x + 3*1 + 3

6*x + 8 = 15*k*x + 6

if 15*k = 6, then the system clerly has no solution.

then:

k = 6/15

then we get:

6*x + 8 = (6/15)*15*x + 6

6*x + 8 = 6*x + 6

8 = 6

The system has no solutions.

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