Answer:
1.
8x + 6y = 28
9x + 3y = 39
Set to equal y.
8x + 6y = 28
6y = -8x + 28
y = -8/6x + 28/6
y = -4/3x + 14/3
9x + 3y = 39
3y = -9x + 39
y = -9/3x + 39/3
y = -3x + 13
Set equal to each other.
-4/3x + 14/3 = -3x + 13
Combine like terms.
5/3x = 25/3
Multiply by 3/5
x = 5
Plug x in.
y = -3(5) + 13
y = -15 + 13
y = -2
(5, -2)
2.
-2x - 9y = -3
-7x - 9y= -33
Set equal to y.
-2x - 9y = -3
-9y = 2x - 3
y = -2/9x + 3/9
y = -2/9x + 1/3
-7x - 9y= -33
-9y = 7x - 33
y = -7/9x + 33/9
y = -7/9x + 11/3
Set equal to each other
-2/9x + 1/3 = -2/9x + 1/3
0 = 0
infinitely many solutions
Answer:
11
Step-by-step explanation:
(8y + 5) - 2z
y = 3, z = 9
Let's plug in the given values.
(8(3) + 5) - 2(9)
First let's multiply.
(24 + 5) - 18
Now simplify within the parentheses.
29 - 18
Subtract.
11
This is your answer.
Hope this helps!
Answer:
w=9
Step-by-step explanation:
Our equation is: 8w-15=57
Add 15 to both sides
-15 is now gone because we added 15 so it would be zero
and we have 72 because 15 plus 57 is 72
Now we have:
8w=72
Divide by 8 on both sides
8w cancels out to just w
and 72 divided by 8 is 9
And you're left with:
w=9
Answer:
K 2
J 4
Step-by-step explanation:
Solved it as an equation 2 x+x=6
x= number of miles Katie drives