Question

Solve and check the equation.mula1" title="\frac{x}{10}=\frac{5x}{7} -43" alt="\frac{x}{10}=\frac{5x}{7} -43" align="absmiddle" class="latex-formula">

Answer 1

Answer:

x = 70

Step-by-step explanation:

Step 1: Simplify both sides of the equations.

• $\frac{x}{10} = \frac{5x}{7}-43$
• $\frac{1}{10}x=\frac{5}{7}x-43$

Step 2: Subtract 5/7x from both sides.

• $\frac{1}{10}x- \frac{5}{7}x = \frac{5}{7}x - 43 - \frac{5}{7}x$
• $\frac{-43}{70}x = -43$

Step 3: Multiply both sides by 70/(-43).

• $\frac{-43}{70}x * \frac{70}{-43} = -43*\frac{70}{-43}$
• $x = 70$

Step 4: Check if solution is correct.

• $\frac{(70)}{10}=\frac{5(70)}{7} -43$
• $7 = \frac{350}{7} - 43$
• $7 = 50 - 43$
• $7 = 7$

Therefore, x = 70.