First make sure that one of the variable has the same coefficient in each equations.
For example lets use:
y=x+3
2y=3x-1
Since neither the y's or x's are the same, we must multiply the equations to make them the same. I am going to multiply the first equation by 2 so I can eliminate the y's.
So we get:
2y=2x+3
2y=3x-1
Then we subtract the second equation from the first to eliminate the y's. So we end up with 0=-x+4 and now we solve for x
0=-x+4
x=4
Now we plug in our x into either original to get the y-value. I am using the first
y=x+3
y=4+3
So the x=4 and y=7
Hope this helps!
13.15 ounces of 72% acid and 71.85 ounces of 25% acid are needed
<u>Step-by-step explanation:</u>
Total mass of acid required= 85 ounces
Let the mass of 72% acid be 'a'
Let the mass of 25% acid be 'b'
a + b = 85
b = 85-a
85(40/100) = a(72/100) + b(25/100)
85(2/5) = a(72/100) +(85- a) (25/100)
34 = (72a/100) + (2125/100) - (25a/100)
34 - (2125/100) = (72a + 25a) /100
(3400-2125)/100 = 97a /100
97a = 1275
a = 13.15 ounces
b = 85 - 13.14
b = 71.85 ounces
13.15 ounces of 72% acid and 71.85 ounces of 25% acid are needed
Answer:
y= -x+6
Step-by-step explanation:
The equation was in point slope from, so you had to solve for y using inverse operations. The slope of x is -1 because -x = -1x.
The one for 9 is 15
The one for 7 is 11
The one for 1 is -1
The one for 0 is -3
Answer:
-29
Step-by-step explanation:
Remove the brackets: -20 - 9
= -29
