Answer: pencil (x) = 3.00, notebook (y) = 4.00
Step-by-step explanation:
Let pencils be denoted using 'x', and notebooks 'y'.
4x+12y = 60, 14x+7y=70
Let us use the method of elimination. However, neither variable has the same coefficient, so let us multiply the first equation using 7, and the second using 2.
7(4x+12y = 60) => 28x+84y=420
2(14x+7y=70) => 28x+14y=140
Let us subtract the second equation from the first. This eliminates the first variable x, and gives the equation 70y=280
Dividing either side of the equation by 70, we get y=4.
If we substitute (plug in) y=4 for the first equation we get x=3
