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kari74 [83]
4 years ago
5

7x+14=7(x+2)

x + 2)" alt="7x + 14 = 7(x + 2)" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
Ostrovityanka [42]4 years ago
5 0

Answer:

<h2>The equation has infinitely many solutions</h2><h2>x ∈ R</h2><h2>Each real number is the solution of this equation.</h2>

Step-by-step explanation:

7x+14=7(x+2)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\7x+14=(7)(x)+(7)(2)\\\\7x+14=7x+14\qquad\text{subtract}\ 7x\ \text{from both sides}\\\\7x-7x+14=7x-7x+14\\\\14=14\qquad\bold{TRUE}\\\\\bold{CONCLUSION}\\\text{The equation has infinitely many solutions}

Salsk061 [2.6K]4 years ago
5 0
7x+14 =7(x+2)
Step 1: Simplify both sides of the equation.
7x+14 =7(x+2)
7x+14=(
7)(x)+(7)(2)
(Distribute)
7x+14 =7x+14
Step 2: Subtract 7x from both sides.
7x+14−7x=7x+14−7x
14=14
Step 3: Subtract 14 from both sides.
14−14= 14−14
0=0

Answer:
All real numbers are solutions
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