The larger of two numbers exceeds twice the smaller by one. The system of equations are y = 2x + 1 and y + 6 = 3x. So option 2 is correct
<u>Solution:</u>
Given, y is the larger number and x be the smaller number.
We have to find which of the given systems of equations represents the word problem?
Now, the larger of two numbers exceeds twice the smaller by one.
Then, y – (2 × x) = 1 ⇒ y – 2x = 1 ⇒ y = 2x + 1
And, three times the smaller exceeds the larger by six
Then, 3 × x – y = 6 ⇒ 3x – y = 6 ⇒ y + 6 = 3x
Hence, the system of equations are y = 2x + 1 and y + 6 = 3x. so option 2 is correct.
Answer:
Step-by-step explanation:
Where 
is the inverse of a matrix A
/A/ is the determinant of matrix A
Adj A, is the Adjunct of matrix A, which is also known as the transpose of its co-factor matrix C.
Answer:
50 Feet
Step-by-step explanation:
2L +2W = 148
L=1.5W+14
2(1.5W+14)+2W=148
3W+28+2W=148
5W=120
w=24
So 3 new seats per row
15 rows
total new seats is (# seat per row) times (# of rows)=3 times 15=45 seats
each seat costs 74
multiply number of seats times cost per seat=45 times 74=$3330
the total cost is $3330
Answer:
50degrees
Step-by-step explanation:
The sum of angle in the triangle XYZ is 180degrees, hence;
<X + <Y + <Z = 180
Given
m<X = 80degree
m<Y = m<Z
Required
m<Z
Substitute the given angle
80 + m<Z + m<Z = 180
80 + 2m<Z = 180
2m<Z = 180 - 80
2m<Z = 100
m<Z = 100/2
m<Z = 50degrees
Hence the measure of angle Z is 50degrees
