Solve multi-step equation 5(x + 6) = x + 46
2 answers:
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Answer:
A pound of potato costs $3.10
A dozen egg costs $5.5
A wheel of cheese costs $6.25
Step-by-step explanation:
Represent
- a dozen egg with D
- a wheel of cheese with W
- a pound of potato with P
For Adam:
---- (1)
For Barry:
---- (2)
For Charles:
---- (3)
Make D the subject in (2)
Substitute 36.50 - 10P for D in (3)
Collect Like Terms
Solve for P
Substitute 3.1 for P in
Substitute 3.1 for P and 5.5 for D in
Solve for W
Answer:
The points (-2, 0) and (3,5) are the ONLY solutions of the given sets of equations.
Step-by-step explanation:
Here, the given equations are:
Now checking for the given points:
(a) (-2, 0)
Here,
Hence, (-2, 0) is the solution of the given equations.
b) Checking for (2,0), as (-2, 0) is a solution as shown above
Here,
Hence, (2, 0) is NOT the solution of the given equations.
c) Checking for (3,5), as (-2, 0) is a solution as shown above
Here,
Hence, (3,5), is the solution of the given equations.
Hence, the points (-2, 0) and (3,5) are the ONLY solutions of the given sets of equations.