Answer:
D) 65
Step-by-step explanation:
The formula for direct variation is
y = kx
where k is the constant of variation.
If we know y=32.5 and x=5, we can substitute in to calculate k
32.5 = k * 5
Divide each side by 5
32.5/5 = k
6.5 = k
So the equation is
y = 6.5k
Given x =10
y = 6.5*10
y = 65
Answer:
hullo
Step-by-step explanation:
Answer:
1. y + 10 - 3/2y = -y/2 + 10
2. 2r+ 7r-r - 9 = 8r - 9
3. 7 + 4p-5+p+2q = 2 + 5p + 2q
Step-by-step explanation:
basically you can add terms that have the same variable
integers can be added together, Xs can be added, Zs, Ys, As, Bs, Cs, you get the point
1. y + 10 - 3/2y = -y/2 + 10
2. 2r+ 7r-r - 9 = 8r - 9
3. 7 + 4p-5+p+2q = 2 + 5p + 2q (do not add different variables p and q ) together
try 4-6 on your own to get this skill down, if you need help with those just let me know
Answer:
5
Step-by-step explanation:
Put -6 where x is and do the arithmetic.
Answer:
Solution: x = 2, y = -1 or (2, -1)
Step-by-step explanation:
Equation 1: 2x + y = 3
Equation 2: 5x - 2y = 12
Using the substitution method:
Transform the Equation 1 into its slope-intercept form:
2x + y = 3
2x - 2x + y = -2x + 3
y = 2x + 3
Substitute the value of y = -2x + 3 into Equation 2:
5x - 2y = 12
5x - 2(-2x + 3) = 12
5x + 4x - 6 = 12
9x - 6 = 12
9x - 6 + 6 = 12 + 6
9x = 18
9x/9 = 18/9
x = 2
Substitute the value of x = 2 into Equation 2 to solve for y:
5x - 2y = 12
5(2) - 2y = 12
10 - 2y = 12
10 - 10 - 2y = 12 - 10
-2y = 2
-2y/-2 = 2/-2
y = -1
Double-check whether the values for x and y will provide a true statement for both equations:
Equation 1: 2x + y = 3
2(2) + (-1) = 3
4 - 1 = 3
3 = 3 (True statement)
Equation 2: 5x - 2y = 12
5(2) - 2(-1) = 12
10 + 2 = 12
12 = 12 (True statement)
Therefore, the correct answers are: x = 2; y = -1 or (2, -1).
