Answer:
x = -7/3y + 8/3
y = -3/7x + 8/7
Step-by-step explanation:
First, set the equations next to each other to find x and y, I'll start with x:
x + 3y + 2x + 4y = 8
Combine like terms
3x + 7y = 8
Subtract both sides by 7y
3x + 7y - 7y = 8 - 7y
3x = 8 - 7y
I'll re-order the equation to make it easier to divide
3x = -7y + 8
Divide both sides by 3
3x / 3 = -7y + 8 /3
x = -7/3y + 8/3
If you need decimals just divide with a calculator
Now to find y:
We already combined like terms so we don't need to do that again...
3x + 7y = 8
Subtract both sides by 3x
3x - 3x + 7y = 8 - 3x
7y = 8 - 3x
I'll reorder the equation once again so the variable comes first
7y = -3x + 8
Divide both sides by 7
7y / 7 = -3x + 8 / 7
y = -3/7x + 8/7
Again, use a calculator to divide completely for decimals.
Answer:
Step-by-step explanation:
let the length of rectangle=l units
width=9
p=2(l+9)
area=9l
9l=2(l+9)
9l=2l+18
7l=18
l=18/7 units
Answer:
y = √(3² + 3²)
9 = √(5² + x²)
Step-by-step explanation:
Diagram 1:
Hypotenuse = y
Opposite = 3
Adjacent = 3
y² = 3² + 3²
y = √(3² + 3²)
y = √(9 + 9)
y = √18
Diagram 2:
Hypotenuse ² = known leg² + unknown leg²
Hypotenuse = 9
Known leg = 5
Unknown leg = x
9² = 5² + x²
9 = √(5² + x²)
9² = 5² + x²
9² - 5² = x²
x² = 81 - 25
x = √ 56
