6. how many solutions does the equation have?\n\\( \\frac { 3 } { 8 } x - 2 = \\frac { 1 } { 8 } ( 3 x - 16…

6. how many solutions does the equation have?\n\\( \\frac { 3 } { 8 } x - 2 = \\frac { 1 } { 8 } ( 3 x - 16 ) \\)\nthe equation has\na one solution.\nb no solution.\nc infinitely many solutions.\nd two solutions.

6. how many solutions does the equation have?\n\\( \\frac { 3 } { 8 } x - 2 = \\frac { 1 } { 8 } ( 3 x - 16 ) \\)\nthe equation has\na one solution.\nb no solution.\nc infinitely many solutions.\nd two solutions.

Answer

Explanation:

Step1: Expand the right - hand side

$$\frac{3}{8}x - 2=\frac{1}{8}(3x - 16)=\frac{3}{8}x-\frac{16}{8}=\frac{3}{8}x - 2$$

Step2: Analyze the equation

Subtract $\frac{3}{8}x$ from both sides of the equation $\frac{3}{8}x - 2=\frac{3}{8}x - 2$. We get $- 2=-2$. This is a True statement for all values of $x$.

Answer:

C. infinitely many solutions.