.
From the condition, you have the system of 2 equations in 2 unknowns
8*d + 14*s = 156, (1) (Daniel' spending)
14*d + 6*s = 162. (2) (Kayla' spending)
To solve the system, multiply equation (1) by 7 (both sides). multiply equation (2) by 4 (both sides). The modified system is
56*d + 98*s = 1092, (3)
56*d + 24*s = 648. (4)
Now subtract eq(4) from eq(3) (both sides). The terms "56*d" in both equations will cancel each other, and
you will get a single equation for only one unknown "s" (it is how the Elimination method works):
74s = 1092 - 648 = 444 ====> s = = 6.
Thus you found that one shrub costs $6.
Then from eq(1), 8d = 156 - 14*6 = 72 and d = = 9.
Answer. One daylily costs $9 and one shrub costs $6.
Solved. // On the way, you learned on how the Elimination method works.
---------------
On solving systems of two linear equations in two unknowns and related word problems see the lessons
- Solution of a linear system of two equations in two unknowns by the Substitution method
- Solution of a linear system of two equations in two unknowns by the Elimination method
- Solution of a linear system of two equations in two unknowns using determinant
- Geometric interpretation of a linear system of two equations in two unknowns
- Solving word problems using linear systems of two equations in two unknowns
- Oranges and grapefruits
- Using systems of equations to solve problems on tickets
- Three methods for solving standard (typical) problems on tickets
- Using systems of equations to solve problems on shares
- Using systems of equations to solve problems on investment
- Two mechanics work on a car
- The Robinson family and the Sanders family each used their sprinklers last summer
- Roses and vilolets
- Counting calories and grams of fat in combined food
- HOW TO algebreze and solve this problem on 2 equations in 2 unknowns
- One unusual problem to solve using system of two equations
- Solving mentally word problems on two equations in two unknowns
- Solving systems of non-linear equations by reducing to linear ones
- System of equations helps to solve a problem for the Thanksgiving day
- Using system of two equations to solve the problem for the day of April, 1
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Systems of two linear equations in two unknowns".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.