SOLUTION
The given equations are
The graph of the equations are shown:
Notice that the line intersect at (3,15)
Therefore, the solutions of the system of equations are
Answer:
156 km
Step-by-step explanation:
2cm = 5 km 31.2cm x 5 km =156 km
Answer: this is the answer
Step-by-step explanation:
9514 1404 393
Answer:
8 ± √34 ≈ {2.169, 13.831}
Step-by-step explanation:
Let x represent one of the numbers. Then the other is 16 -x and their product is ...
x(16 -x) = 30
x^2 -16x = -30 . . . . . eliminate parentheses, multiply by -1
x^2 -16x +64 = 34 . . . . add 64 to complete the square
(x -8)^2 = 34 . . . . . . . . rewrite
x -8 = ±√34 . . . . . . . .square root
x = 8 ± √34 . . . . . . add 8
x ≈ {2.169, 13.831}
Answer:
x = -1
, y = 5
Step-by-step explanation:
Solve the following system:
{5 x + 3 y = 10 | (equation 1)
x = y - 6 | (equation 2)
Express the system in standard form:
{5 x + 3 y = 10 | (equation 1)
x - y = -6 | (equation 2)
Subtract 1/5 × (equation 1) from equation 2:
{5 x + 3 y = 10 | (equation 1)
0 x - (8 y)/5 = -8 | (equation 2)
Multiply equation 2 by -5/8:
{5 x + 3 y = 10 | (equation 1)
0 x+y = 5 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{5 x+0 y = -5 | (equation 1)
0 x+y = 5 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -1 | (equation 1)
0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = -1
, y = 5
