Answer:
x = 5/39
, y = 539/39
Step-by-step explanation:
Solve the following system:
{y - 2.5 x = 13.5
12.25 x - y = -12.25
In the first equation, look to solve for y:
{y - 2.5 x = 13.5
12.25 x - y = -12.25
y - 2.5 x = y - (5 x)/2 and 13.5 = 27/2:
y - (5 x)/2 = 27/2
Add (5 x)/2 to both sides:
{y = 1/2 (5 x + 27)
12.25 x - y = -12.25
Substitute y = 1/2 (5 x + 27) into the second equation:
{y = 1/2 (5 x + 27)
1/2 (-5 x - 27) + 12.25 x = -12.25
(-5 x - 27)/2 + 12.25 x = 12.25 x + (-(5 x)/2 - 27/2) = 9.75 x - 27/2:
{y = 1/2 (5 x + 27)
9.75 x - 27/2 = -12.25
In the second equation, look to solve for x:
{y = 1/2 (5 x + 27)
9.75 x - 27/2 = -12.25
9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:
(39 x)/4 - 27/2 = -49/4
Add 27/2 to both sides:
{y = 1/2 (5 x + 27)
(39 x)/4 = 5/4
Multiply both sides by 4/39:
{y = 1/2 (5 x + 27)
x = 5/39
Substitute x = 5/39 into the first equation:
{y = 539/39
x = 5/39
Collect results in alphabetical order:
Answer: {x = 5/39
, y = 539/39
Answer:
C
Step-by-step explanation:
To determine which point is a solution substitute the coordinates into both inequalities and check validity
A (2, 0 )
2 + 0 = 2 ← not greater than 2
(4 × 2) + 0 = 8 > - 1
The point (2, 0) is not a solution as it does not satisfy the first inequality
B (0, 2 )
0 + 2 = 2 ← not greater than 2
0 + 2 = 2 > - 1
The point (0, 2) is not a solution as it does not satisfy the first inequality
C (0, 3 )
0 + 3 = 3 > 2
0 + 3 = 3 > - 1
The point (0, 3) satisfies both inequalities and is therefore a solution
Step-by-step explanation:
8) 52
9) (135/2) or 67.5
10)(32/5) or 6.4
Answer:
Step-by-step explanation:
.16x + 22.92 = 25.00
.16x = 2.08
x = 13 yards of ribbon
