Karissa begins to solve the equation . Her work is correct and is shown below.

Three lines of math. The first line, StartFraction one-half EndFraction left-parenthesis x minus 14 right-parenthesis plus 11 equals StartFraction one-half EndFraction x minus left-parenthesis x minus 4 right-parenthesis. The second line, StartFraction one-half EndFraction x minus 7 plus 11 equals StartFraction one-half EndFraction x minus x plus 4. The third line StartFraction one-half EndFraction x plus 4 equals negative StartFraction one-half EndFraction x plus 4.

When she subtracts 4 from both sides, results. What is the value of ?

–1
–
0

[tex](1st\ line)\qquad\dfrac{1}{2}(x-14)+11=\dfrac{1}{2}x-(x-4)\qquad\text{use the distributive property}\\\\\dfrac{1}{2}x-\left(\dfrac{1}{2}\right)(14)+11=\dfrac{1}{2}x-x-(-4)\\\\(2nd\ line)\qquad\dfrac{1}{2}x-7+11=\dfrac{1}{2}x-x+4\qquad\text{combine like terms}\\\\(3rd\ line)\qquad\dfrac{1}{2}x+4=-\dfrac{1}{2}x+4\qquad\text{subtract 4 from both sides}\\\\\dfrac{1}{2}x+4-4=-\dfrac{1}{2}x+4-4\\\\\dfrac{1}{2}x=-\dfrac{1}{2}x\qquad\text{add}\ \dfrac{1}{2}x\ \text{to both sides}[/tex]

[tex]\dfrac{1}{2}x+\dfrac{1}{2}x=-\dfrac{1}{2}x+\dfrac{1}{2}x\\\\1x=0\to x=0[/tex]

swapnalimalwadeVT swapnalimalwadeVT · Answer 2 · 2022-03-28T12:16:01+02:00

The Karissa begins to solve the equation . Her work is correct and subtract 4 from both side of equation then she get the value of x is 0.

we have given that,three lines of math.

What is the algebraic expression?

Algebraic expressions means the idea of expressing numbers using letters or alphabets without specifying their actual values.

[tex]1/2(x-14)+11=1/2x-(x-4)....distributive property\\\\\\1/2x-1/2(14)+11=-1/2x-x+4\\1/2x-7+11=-1/2x+4....(combine like terms)\\\1/2x+4=1/2x+4\\\\1/2x+1/2x=4-4....subtract 4 from bothside\\1x=0...isolate x\\x=0[/tex]

Therefore,the Karissa begins to solve the equation . Her work is correct and subtract 4 from both side of equation then she get the value of x is 0.

To learn more about the expression visit:

https://brainly.com/question/723406