Answer:
Step-by-step explanation:
Answer:
The ordered pair solution is (-2,2)
Step-by-step explanation:
Here, we want to get the ordered pair solution to the system of linear equations
From the first equation, we can have it that;
-2x = 16-6y
Now, we can substitute this into the second equation as follows;
From; -4x -3y = 2
2(-2x) - 3y = 2
2(16-6y) - 3y = 2
32 - 12y - 3y = 2
32-15y = 2
-15y = 2-32
-15y = -30
y = -30/-15
y = 2
Recall;
-2x + 6y = 16
substitute for the value of y
-2x + 6(2) = 16
-2x + 12 = 16
-2x = 16-12
-2x = 4
x = 4/-2
x = -2
5/12 converted. decimal would be .416666667
The solution of the equation is x = -4/3.
<h3>What does it mean to solve an equation?</h3>
An equation represents equality of two or more mathematical expression.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
WE have been given an equation as;
|x - 4| = 5x + 12
In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.
Case 1: original equation
|x - 4| = 5x + 12
x - 4 = 5x + 12
x - 5x = 12 + 4
-4x = 16
x = -4
Case 2: Opposite equation
|x - 4| = 5x + 12
x - 4 = - (5x + 12)
x - 4 = - 5x - 12
x + 5x = -12 + 4
6x = -8
x = -4/3
Now we have two solutions. We need to check for extraneous solutions because of all the manipulations;
Check:
|x - 4| = 5x + 12
use x = -4
|-4 - 4| = 5(-4) + 12
| -8 | = -20 + 12
8 = -8
Thus, it is Not a solution
Now, |x - 4| = 5x + 12
use x = -4/3
| -4/3 - 4| = 5( -4/3) + 12
|-16/3 | = -20/3 + 12
|-16/3 | = 16/3
16/3 = 16/3
Thus, it is the Solution.
Learn more about solving equations here:
brainly.com/question/18015090
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