x ,y are the numbers
x = 5y-3
x+y = 27
substitute first equation into the second
(5y-3) +y =27
combine like terms
6y-3=27
add 3 to each side
6y=30
divide by 6
y=5
x = 5y-3
x=5*5-3
x=22
the two numbers are 22 and 5
Answer:
5140 and 3140
Step-by-step explanation:
Note there is a common difference d between consecutive terms in the sequence, that is
d = 140 - 40 = 240 - 140 = 340 - 240 = 100
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 40 and d = 100, thus
= 40 + (51 × 100) = 40 + 5100 = 5140
= 40 + (31 × 100) = 40 + 3100 = 3140
<span>Simplifying
8x + -6y = -20
</span><span>Solving
8x + -6y = -20
</span><span>Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right
</span><span>Add '6y' to each side of the equation.
8x + -6y + 6y = -20 + 6y
</span><span>Combine like terms: -6y + 6y = 0
8x + 0 = -20 + 6y
8x = -20 + 6y
</span>
Divide each side by '8'.
x = -2.5 + 0.75y
<span>Simplifying
x = -2.5 + 0.75y</span>
Answer:
1/2 bh
Step-by-step explanation:
