To solve a word problem using a system of equations, it is important to;
– Identify what we don’t know
– Declare variables
– Use sentences to create equations
An example on how to do this:
Mary and Jose each bought plants from the same store. Mary spent $188 on 7 cherry trees and 11 rose bushes. Jose spent $236 on 13 cherry trees and 11 rose bushes. Find the cost of one cherry tree and the cost of one rose bush.
Cost of a cherry tree:
Cost of a rose bush:
7 cherry trees and 11 rose bushes = $188
The y-values cancel each other out, so now you are left with only x-values and real numbers.
Then, you plug in your x-value into an original equation in order to find the y-value.
Cost of a cherry tree: $8
Cost of a rose bush: $12