Question

4x+5. 8 ------ = ---- 13. 9

Answer 1

40x+58
--------------
139

Answer 2

To solve the equation $\frac{{4x + 5}}{{8}} = \frac{{13}}{{9}}$, you can cross-multiply to eliminate the denominators. Here's how you do it step-by-step:

Step 1: Cross-multiply $4x + 5 = \frac{{13}}{{9}} \times 8$

Step 2: Perform the multiplication $4x + 5 = \frac{{104}}{{9}}$

Step 3: Move the constant term to the other side of the equation $4x = \frac{{104}}{{9}} - 5$

Step 4: Simplify the right-hand side $4x = \frac{{104 - 45}}{{9}}$

Step 5: Continue simplification $4x = \frac{{59}}{{9}}$

Step 6: Finally, solve for x by dividing both sides by 4 $x = \frac{{59}}{{9}} \div 4$

Now, let's perform the division: $x = \frac{{59}}{{9}} \times \frac{{1}}{{4}}$

$x = \frac{{59}}{{36}}$

So the value of x is approximately $x \approx 1.6389$ (rounded to four decimal places).