Answer:
x = 3
y = 0
Step-by-step explanation:
The method of substitution is when one solves an equation for one of the variables, and then substitutes the expression into the other equation. After doing so, one will solve the other equation for the remaining variable and then backsolve for the first variable.
4x + 2y = 12
x = y + 3
The second equation is already sovled for parameter (x), subttiute this into the other equation,
4(y + 3) + 2y = 12
Distribute,
4y + 12 + 2y = 12
Simplify,
6y + 12 = 12
Inverse operations,
6y + 12 = 12
-12
6y = 0
/6
y = 0
Backsolve for (x), substitute the value of (y) into the equation for (x) and solve,
x = y + 3
x = 0 + 3
x = 3
Answer:
7x + 3y </=8
Step-by-step explanation:
Let x represent the number of rides Beth rides and y represent the number of exhibits she views
Each ride costs $7 to ride and each exhibit costs $3 to view
This means that x rides will cost x × 7 = $7x
Also, if she views y exhibits, the cost will be y × 3 = $3y.
Total cost of x rides and y views will be 7x + 3y
if she has at most $98 to spend at the fair, it means that all she can spend must be lesser than or equal to $98
The required expression will be
7x + 3y </=8
99
999
9999
ninety-nine
technically this does not start with nine
Answer:
(C)
Step-by-step explanation:
From the given statement,
≅
by the converse of the isosceles theorem as it states that if two angles are congruent in the triangle, then the two sides opposite to those equal angles will also be congruent that is
≅
.
Hence, Option C is correct.
Rest of the options are not correct as the reflexive property states that any geometric figure, any angle or any line segment has same size and shape. NEither
is equal to
nor
by reflexive property as the condition is not fulfiiled.