Question

you found that 7 pounds of grapes and 2 pounds of strawberries cost 20 dollars. is the point (7,2) a solution to the equation? in other words, if rooby buys 7 pounds of grapes and 2 pounds of strawberries, does she spend exactly 20 dollars?

$2g + 3s = 20$
$2(7) + 3(2) \stackrel{?}{=} 20$
$14 + 6 = 20$
$20 \stackrel{?}{=} 20$

yes, because 7 pounds of grapes and 2 pounds of strawberries cost exactly 20 dollars.
no, because 7 pounds of grapes and 2 pounds of strawberries cost more than 20 dollars.

Explanation:

Step1: Substitute values into equation

Substitute $g=7$ and $s=2$ into $2g + 3s$:
$2(7) + 3(2)$

Step2: Calculate each term

Compute the products:
$14 + 6$

Step3: Sum the terms

Add the results:
$20$

Step4: Compare to total cost

Check if the sum equals 20:
$20 = 20$

Answer:

Yes, because 7 pounds of grapes and 2 pounds of strawberries cost exactly 20 dollars.