The ordered pair is (–1, –2)
Solution:
Given system of linear equations are
4x –7y = 10 – – – – (1)
3x + 2y = –7 – – – – (2)
To solve this by elimination method.
First multiply equation (1) by 3 and then multiply equation (2) by 4.
(1) × 3 ⇒ 12x –21y = 30 – – – – (3)
(2) × 4 ⇒ 12x + 8y = –28 – – – – (4)
Subtract equation (4) from equation (3), we get
⇒ 12x –21y – (12x + 8y) = 30 – (–28)
⇒ 12x –21y – 12x – 8y = 30 + 28
Combine like terms together.
⇒ 12x – 12x –21y – 8y = 30 + 28
⇒ –29y = 58
Divide both sides by –29, we get
⇒ y = –2
Substitute y = –2 in equation (1), we get
(1) ⇒ 4x –7y = 10
⇒ 4x – 7(–2) = 10
⇒ 4x + 14 = 10
⇒ 4x = 10 – 14
⇒ 4x = –4
Divide both side by 4, we get
⇒ x = –1
Hence the ordered pair for the given system of equations is (–1, –2).
Answer:
7 miles per hour
Step-by-step explanation:
3 1/2 miles = 7/2 miles
1/2 hours= 30 minutes
So,
In 30 mins, travelled 7/2 miles
In 1 min, travelled 7/2 ÷ 30= 7/2× 1/30 = (7×1)/(2×30) = 7/60 miles
In 60 mins, travelled (7×60)/60 miles = 420/60 miles = 7 miles.
Hence, the speed is 7 miles per hour.
Hope this helps :)
Answer:
aₙ = -2aₙ₊₁
Step-by-step explanation:
According to the sequence given 16, -8, 4, ...
a1 = 16
a2 = -8
a3 = 4
From the values, we can conclude thst;
a1 = -2(-8)
Since a2 = -8, then;
a1 = -2(a2)
Similarly
a2 = -2(4)
a2 = -2a3
The subsequent sequence are;
a3 = -2a4
The nth term will ne;
aₙ = -2aₙ₊₁
Hence the required recursive function is aₙ = -2aₙ₊₁
Y² + 10z - 10y - yz = (y - 10)(y - z)
Answer:
2.50+2.25x=$9.25
Step-by-step explanation:
x is the number of games you can bowl