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ryzh [129]
3 years ago
14

What is the solution to the system of equations below?

Mathematics
1 answer:
kifflom [539]3 years ago
4 0

Answer:

(-5,-14)

Step-by-step explanation:

To find the solution of the system of two equations

\left\{\begin{array}{l}y=4x+6\\y=2x-4\end{array}\right.

equate right sides of these two equations:

4x+6=2x-4

Rewrite terms with x into the left side and without x into the right side:

4x-2x=-4-6\\ \\2x=-10\ [\text{divide by 2}]\\ \\x=-5

Substitute x=-5 into the first equation:

y=4\cdot (-5)+6=-20+6=-14

The solution is (-5,-14)

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Solve for x. one fifth times the absolute value of the quantity x minus 4 end quantity minus 3 equals 6 A. x= -19 and x =-11 b.
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The value of x in the given expression can be either -41 or 45. The correct option is B.

<h3>What is Absolute Value?</h3>

An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, and also, |5| will give 5 as well.

Given the modulus function (1/5)|x - 4| - 3 = 6. Now, there will be two cases of this because the value of x can be either negative, x<0 or it can positive, x>0. Therefore, the given modulus function can be solved as shown below.

  • When x>0,

(1/5)(x-4) - 3 = 6

(x/5) - (4/5) - 3 = 6

(x - 4 - 15)/5 = 6

x - 4 -15 = 30

x = 30 + 15 + 4

x = 45

  • When x<0

(1/5)(-x+4) - 3 = 6

(-x/5) + (4/5) - 3 = 6

(- x + 4 - 15)/5 = 6

- x + 4 -15 = 30

-x = 30 + 15 - 4

-x = 41

x = -41

Hence, the value of x in the given expression can be either -41 or 45.

Learn more about Absolute value here:

brainly.com/question/1301718

#SPJ1

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