Drew bought 3 pounds of beans and 2 pounds of peppers for $7.05. Last week he bought 4 pounds of beans and 3 pounds of peppers for $9.83. The price for both items stayed the same both weeks what is the cost per pound
x = cost for lb of beans
y =cost for lb of peppers
3x + 2y = 7.05 multiply through by 3 ⇒ 9x + 6y = 21.15
4x + 3y = 9.83 multiply through by -2 ⇒ -8x - 6y = -19.66 add these and we have
x = 1.49
And
3(1.49) + 2y = 7.05
4.47 + 2y = 7.05
2y = 7.05 - 4.47
2y = 2.58 divide each side by 2
y = 1.29