Answer:
x = 8
, y = -5
Step-by-step explanation:
Solve the following system:
{x + y = 3 | (equation 1)
3 x + 2 y = 14 | (equation 2)
Swap equation 1 with equation 2:
{3 x + 2 y = 14 | (equation 1)
x + y = 3 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 x + 2 y = 14 | (equation 1)
0 x+y/3 = -5/3 | (equation 2)
Multiply equation 2 by 3:
{3 x + 2 y = 14 | (equation 1)
0 x+y = -5 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{3 x+0 y = 24 | (equation 1)
0 x+y = -5 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 8 | (equation 1)
0 x+y = -5 | (equation 2)
Collect results:
Answer: {x = 8
, y = -5
Let's call the three numbers x, y, and z.
The numbers are 3, 12, and 5.
x + y + z = 20
y = 4x
x + z = 8
We can rewrite the first equation because y is 4x, so
x + 4x + z = 20
5x + z = 20
And now we can use simultaneous equation rules to solve
5x + z = 20
x + z = 8
5x + z = 20
5x + 5z = 40
(subtract)
-4z + -20
÷ -4
z = 5
x + z = 8
x + 5 = 8
x = 3
y = 4x
y = 4 × 3
y = 12
I hope this helps!
Answer:
perimeter = 1 3/4
Step-by-step explanation:
1. 3/4 x 2 because there are two sides with the fraction 3/4. 3/4 x 2 is 1 1/2
2. 1/8 x 2 because there are two sides with the fraction 1/8. 1/8 x 2 is 1/4
3. 1 1/2 + 1/4 = <u>1 3/4</u>
I don’t really understand what you mean could you be more specific please.
