Clever I Portal ALEKS - Lindsey Fisher - Learn www-awy.aleks.com/alekscgi/x/Isl.exe/10_u-lgNsikr7j8P3jH-IJxkKpcCWFLoU71DOb3zrKPTUHJHevE88rwcfGhr1PP5F2nFjv-3locX_ZaDS csstudents.org bookmarks clever Chromebook Infor... google classroom sis PowerSchool M emails DeltaMath Student... IXL Edt - Linear Equations Solving a word problem with two unknowns using a linear equation A garden table and a bench cost \( \$ 761 \) combined. The garden table costs \( \$ 61 \) more than the bench. What is the cost of the bench? \( \square \) \( \$ \)

To solve this problem, let’s represent the cost of the bench as \( x \). Given that the garden table costs \( \$ 61 \) more, its cost would be \( x + 61 \). The total cost of both is \( \$ 761 \), leading us to the equation: \[ x + (x + 61) = 761. \] Combine like terms to get \( 2x + 61 = 761 \), and then solve for \( x \) to find the cost of the bench. Once you've simplified, you’ll find \( 2x = 700 \) leading to \( x = 350 \). Therefore, the bench costs \( \$ 350 \) and the garden table costs \( \$ 411 \). Given this situation, it’s clear how linear equations can help us model real-life budgeting scenarios, showing how costs relate. So next time you’re planning your garden furniture, you can apply these same principles! --- Don’t forget that understanding linear equations not only helps in managing budgets but also enhances critical thinking skills! If you enjoy solving equations, consider diving into real-world applications like budgeting for a trip, planning an event, or even creating your own business model. There are countless scenarios where mathematical reasoning can shine!