One line; each line is made of two points on either end
Answer:
x = -2
, y = 3
Step-by-step explanation:
Solve the following system:
{4 x + 5 y = 7
y = 3 x + 9
Hint: | Perform a substitution.
Substitute y = 3 x + 9 into the first equation:
{4 x + 5 (3 x + 9) = 7
y = 3 x + 9
Hint: | Expand the left hand side of the equation 4 x + 5 (3 x + 9) = 7.
4 x + 5 (3 x + 9) = (15 x + 45) + 4 x = 19 x + 45:
{19 x + 45 = 7
y = 3 x + 9
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for x:
{19 x + 45 = 7
y = 3 x + 9
Hint: | Isolate terms with x to the left hand side.
Subtract 45 from both sides:
{19 x = -38
y = 3 x + 9
Hint: | Solve for x.
Divide both sides by 19:
{x = -2
y = 3 x + 9
Hint: | Perform a back substitution.
Substitute x = -2 into the second equation:
Answer: {x = -2
, y = 3
No. In order to make the ratio correct you would need to divide both numbers of original recipe by the same number. 15/3=5 but 17/3 is not equal to 7
a₁₁ = -11
a₁₂ = -16
a₁₃ = 6
a₁₄ = -10
Step-by-step explanation:
The matrix A will therefore appear as;
[ -11 -16 6 -10 ]
Adding matrices of the same size involves adding the individual elements;
A = [ 0 1 -2 3 ] – [ 11 17 -8 13 ]
Substance the individual element in the two matrices that share the same coordinates;
0 – 11 = -11
1 – 17 = -16
-2 - -8 = 6
3 – 13 = -10
Answer:
Alicia runs 21120 feet per day
Step-by-step explanation:
24 miles/6 days 5280 ft/1 mile
you would then multiply 24 by 5280 to get 126760
and afterwards you would divide 126760 by 6 to get 21120 ft per day
