Answer:
Hi there!
Your answer is:
Y= 0
X= 9
Step-by-step explanation:
3x=27+3y
3x-10y=27
Solve one of them for Y
I chose the first equation
3x=27+3y
-27
3x-27=3y
/3
x-9 = y
NOW, plug y in the second equation!
3x-10y=27
y= x-9
3x-10y=27
3x-10(x-9) = 27
Solve for x!
3x-10x+90 = 27
-7x + 90 =27
-90
-7x = -63
/-7
x= 9
FINALLY, plug back in x for y equation
y=x-9
x=9
y=9-9
y=0
Answer:
(x-1)(x-4)
Step-by-step explanation:
factors of four that add up to negative five
Answer:
The larger number is 64 and the smaller number is 36.
Step-by-step explanation:
Set up an equation to find the value of one number, x, and use that find find the value of the second number. Use x as the variable for the smaller number. The larger number is 2 times the smaller number minus 8, so the part of the equation for the larger number would be 2x-8. Then because the difference between the two numbers is 28, you would subtract the smaller number, x, from the larger number equation.
The equation should look like this: 2x-8-x=28
Combine like terms to get this: x-8=28
Add 8 to both sides of the equation: x=36
Because x represents the smaller number, the smaller number is 36. To find the larger number, just plug the numbers into the large number equation from earlier: 2(36)-8 The answer for the large number is 64, and the difference between 64 and 36 is 28, proving the answer correct.
Answer:
2 and 10
Step-by-step explanation:
Let x be length of the small piece and y the length of the big one.
● y = 5x
Since the big piece is 5 times longer than the short one.
The total length is 12 ft
● y + x = 12
● 5x + x = 12
● 6x = 12
Divide both sides by 6
● 6x/6 = 12/6
● x = 2
So the length of the two pieces are 2 ft and 10 ft (5×2)