Onne way is to eliminate terms
-2x+7y=2
3x-5y=-14
multiply first equation by 3 and second equaiton by 2
-6x+21y=6
6x-10y=-28
add them together to cancel x terms
-6x+21y=6
<u>6x-10y=-28 +</u>
0x+11y=-22
11y=-22
divide by 11
y=-2
subsitute
-2x+7(-2)=2
-2x-14=2
add 14 to both sides
-2x=16
divide both sides by 2
-x=8
multiply -1
x=-8
x=-8
y=-2
in (x,y) form
(-8,-2)
Answer:
x=1
Step-by-step explanation:
-31 - 4x= -5 - 5 (1+5x)
-31-4x=-5-5-25x
Separate the different variables and solve.
-31+5+5=4x-25x
-31+10=-21x
-21=-21x
x=1
Answer:
72%
Step-by-step explanation:
There are a total of 50 quizzes in the year
From the first 20, the student passes 60%. This makes a total of
12 passes
Out of the remaining 30 quizzes the student passes in 80% of them. This makes a total of
24 passes
Adding the two values
12 + 24 = 36
The student passes 36 quizzes out of 50.
We convert this to a percentage
%
The mistake was in step one when she added the 9 to both sides
x^2 + 8x - 9 = 0
__ + __ = 8 (b)
__ • __ = -9 (a•c)
blanks = -1 and 9
(x - 1)(x + 9)
Solve for x in each one
x = 1 or -9
Answer:
$17.60
Step-by-step explanation:
We know that Emma spent $16.00 on her food.
There is a 10% tax.
Therefore, the total bill will be the price <em>without tax</em> plus the <em>tax</em>.
The price without tax is $16.00.
Tax is 10%. So, the tax will be 10% of 16.
10% of 16 is the same as 0.1(16) or 1.6.
So, the tax is $1.60.
Therefore, the total bill is:
$16.00+$1.60=$17.60.
Emma’s total bill comes to $17.60