1)
Substitute 1.7 for x in the equation.
[tex]2(5-bx)=15.1-7x \\
2(5-b \times 1.7)=15.1 - 7 \times 1.7 \\
2(5-1.7b)=15.1-11.9 \\
10-3.4b=3.2 \\
-3.4b=3.2-10 \\
-3.4b=-6.8 \\
b=\frac{-6.8}{-3.4} \\
b=2[/tex]
b=2 makes 1.7 the solution of the equation.
2)
First solve the equation for x.
[tex]2(5-bx)=15.1-7x \\
10-2bx=15.1-7x \\
-2bx+7x=15.1-10 \\
(-2b+7)x=5.1 \\
x=\frac{5.1}{-2b+7}[/tex]
There will be no possible solution if the denominator is equal to 0.
[tex]-2b+7=0 \\
-2b=-7 \\
b=\frac{-7}{-2} \\
b=3.5[/tex]
b=3.5 results in no solution.
