Since both sides of the equation can be simplified to 2x+6, it means that any value of x will make the equation true. Therefore, there are an infinite number of solutions.
Two values that support this conclusion are:
- x = 0
- x = 5
When x = 0, the equation simplifies to 2(0+3) = 2*0 + 6, which is true.
When x = 5, the equation simplifies to 2(5+3) = 2*5 + 6, which is also true.
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of xx that support your conclusion.
2, left bracket, x, plus, 3, right bracket, equals, 2, x, plus, 6
2(x+3)=
2x+6
Answer
Attempt 1 out of 2
The equation has
infinite solutions
.
A value of xx that makes the equation true is , which when substituted into the equation and simplified makes the equation turn into equals= .
Another value of xx that makes the equation true is , which when substituted into the equation and simplified makes the equation turn into equals= .
1 answer
2 answers