Answer:
1 pear costs 20 cents. 1 peach costs 10 cents.
Step-by-step explanation:
x represents pears
y represents peaches
4x + 2y = 1
2x + 3y = 0.7
multiply the second equation by -2 to elimate the x variable
(2x +3y = 0.7) -2 = -4x - 6y = -1.4
add the new equation to the first original one:
4x + 2y = 1
<u>-4x - 6y = -1.4</u>
-4y = -0.4. divide both sides by -4, y = 0.10
plug in y = 10, solve algebraically and get x = 0.20
Lastly, check your work:
4(0.20) + 2(0.10) = 1
2(0.20) + 3(0.10) = 0.7