What is wrong in this equation?
6(2x+3)-y=188
4x+y=54

x = 14, y = -2

(14, -2)

Step-by-step explanation:

The given problem involves solving systems of linear equation by substitution.

Given the equations:

Equation 1:  6(2x + 3) - y = 188

Equation 2: 4x + y = 54

Start by isolating y in Equation 2 by subtracting 4x from both sides:

4x - 4x + y = - 4x + 54

y = - 4x + 54

Next, work on Equation 1 by distributing 6 into the parenthesis:

6(2x + 3) - y = 188

12x + 18 - y = 188

Then, substitute the value of y from Equation 1 into Equation 2:

12x + 18 - y = 188

12x + 18 - (-4x + 54) = 188

Distribute -1 into (-4x + 54): ←←← This was the skipped step in the given problem, causing an erroneous solution!

12x + 18 + 4x - 54 = 188

Combine like terms:

16x - 36 = 188

Add 36 to both sides to isolate 16x:

16x - 36 + 36 = 188 + 36

16x = 224

Divide both sides by 16:

x = 14

Now that we have the value of x, substitute its value into Equation 2 to solve for y:

y = -4x + 54

y = -4(14) + 54

y = -56 + 54

y = -2

Therefore, the solution to the given systems of linear equation is:

x = 14, y = -2

(14, -2)

To answer your question, the error is that -1 was not properly distributed when the value of y = (-4x + 54) was substituted into Equation 1.  I've included a screenshot where it shows that error.

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step-by-step explanation: