Question

PLZ HELP ME ASAP! 12 POINTS 

Wesley is making a patio from stones of two sizes, 5 inches wide and 10 inches wide. he wants to begin and end his pattern with a 10-inch stone so there will be one more of the 10-inch stone than of the 5-inch stones. his patio will be 145 inches wide. how many 10-inches stones will Wesley need for one row?

Answer 1

x = # 5 inch stones, y = # 10 inch stones

5x + 10y = 145
y = x + 1

5x + 10(x + 1) = 145
5x + 10x + 10 = 145
15x = 135
x = 135/15
x = 9 <=== 9 five inch stones

y = x + 1
y = 9 + 1
y = 10 <=== 10 ten inch stones