To determine which equation has exactly one solution, we need to solve each equation and see if there is only one value of x that satisfies the equation.
1) 2x+6=3x+2
Subtracting 2x from both sides:
6 = x+2
Subtracting 2 from both sides:
4 = x
2) 6x+12=6(x+2)
Using the distributive property on the right side:
6x+12=6x+12
This equation is true for all values of x. Therefore, it has infinitely many solutions.
3) 3(x+1)=3x
Using the distributive property on the left side:
3x+3=3x
Subtracting 3x from both sides:
3 = 0
This equation is not true for any value of x. Therefore, it has no solutions.
4) 9x+3=9x-9
Subtracting 9x from both sides:
3 = -9
This equation is not true for any value of x. Therefore, it has no solutions.
Based on our calculations, the equation that has exactly one solution is 2x+6=3x+2.
Which equation has exactly one solution? This question requires you to show your work. (1 point) Responses 2x+6=3x+2 2 x plus 6 is equal to 3 x plus 2 6x+12=6(x+2) 6 x plus 12 is equal to 6 times open paren x plus 2 close paren 3(x+1)=3x 3 times open paren x plus 1 close paren is equal to 3 x 9x+3=9x−9
1 answer
1 answer