SUBSTITUTION
| Solve the linear equation word problem by using the substitution method. | a delivery arrives at the store with 8 small boxes of golf balls and 5 large boxes of golf balls. the total charge of the boxes is $184. a large box costs $3 more than a small box. what is the cost of each size box? |
STEP 1 set up the equations. |
8x + 5y = 184 y = 3 + x |
STEP 2 since y is already solved for, substitute 3 + x into the y's place in the first equation. |
8x + 5(3 + x) = 184 |
STEP 3 now solve for x. |
x = 13 |
STEP 4 then substitute the answer for x into the second problem and solve. |
y = 3 + (13) y = 16 |
step 5 put the answer into an odered pair. |
(13, 16) |
