Answer:
x=9
Step-by-step explanation:
(9-7) = 2
9 times 2 = 18 square feet
Direct variation is written in the form y = k * x or x = y * k. And, inverse variation is written in the form y = k/x or x = y/k.
For the first problem, if we isolated the y, we would get:
4y = 3x - 1
y = (3/4)x - 1/4
This is written as y = mx + b, which isn’t the form of direct or inverse variation, so the answer is NEITHER.
For the second equation, we could divide by 2 on both sides to isolate x and see if it is in the correct form:
x = 4/y
This is inverse form, so the second question is INVERSE with a constant of variation as 4.
<h3>Solution for -3x+25=52 equation:</h3>
Simplifying
-3x + 25 = 52
Reorder the terms:
25 + -3x = 52
Solving
25 + -3x = 52
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-25' to each side of the equation.
25 + -25 + -3x = 52 + -25
Combine like terms: 25 + -25 = 0
0 + -3x = 52 + -25
-3x = 52 + -25
Combine like terms: 52 + -25 = 27
-3x = 27
Divide each side by '-3'.
x = -9
Simplifying
x = -9
Answer:
Below
Step-by-step explanation:
● x-20 = y+20 (1)
● 2(y-22) = x+22 (2)
This is a system of simulataneous equations
Let's simplify the expressions first
● x -20 = y + 20 (1)
Add 20 to both sides
● x -20 + 20 = y+20 +20
● x = y + 40 (1)
● 2(y-22) = x+22 (2)
● 2y - 44 = x +22
Substrat 22 from both sides
● 2y-44-22 = x+22-22
● 2y -66 = x (2)
This is the new system:
● x = y+40 (1)
● x = 2y-66 (2)
Substract (2) from (1)
● x-x = y+40-(2y-66)
● y+40-2y+66 = 0
● -y +106 = 0
● y = 106
Replace y with 106 in (1)
● x = y +40
● x = 106+40
● x = 146
So the solutions are (146,106)
