Answer:
y = 6
Step-by-step explanation:
-4 + 3y = 14
+4 +4
3y = 18
---- ----
3 3
y = 6
Answer: umm I think the best estimate would be$37.38
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = small barrettes
y = large barrettes
13x + 11y = 142.......multiply by -1
13x + 12y = 149
-----------------------
-13x - 11y = -142 (result of multiplying by -1)
13x + 12y = 149
------------------------add
y = 7..........large barrettes used 7 yards
13x + 11y = 142
13x + 11(7) = 142
13x + 77 = 142
13x = 142 - 77
13x = 65
x = 65/13
x = 5........small barrettes used 5 yards
Answer:
Step-by-step explanation:
in y = mx + b form, the slope is in the m position and the y int is in the b position
y = -2x + 3.....slope is -2 and y int is 3
y = -2x - 1...slope is -2 and y int is - 1
same slope, different y int's....means parallel lines...NO SOLUTION
learn this...it helps
same slope, different y int's = no solution
different slopes, different y int's = 1 solution
same slope, same y int's = infinite solutions
Answer:
Step-by-step explanation:
Solve the following equation:
![\left[\begin{array}{ccc}3&2\\5&5\\\end{array}\right] \left[\begin{array}{ccc}x_{1}\\x_{2}\\\end{array}\right] + \left[\begin{array}{ccc}1\\2\\\end{array}\right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%262%5C%5C5%265%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx_%7B1%7D%5C%5Cx_%7B2%7D%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%5C%5C2%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%5C%5C-3%5C%5C%5Cend%7Barray%7D%5Cright%5D)
-In order to solve a pair of equations by using substitution, you first need to solve one of the equations for one of variables and then you would substitute the result for that variable in the other equation:
-First equation:
-Second equation:
-Choose one of the two following equations, which I choose the first one, then you solve for 
by isolating
-Subtract 
to both sides:
-Subtract 
to both sides:
-Divide both sides by 
:
-Multiply 
by 
:
-Substitute 
for in the second equation, which is :
Multiply by 
:
-Combine like terms:
-Subtract 
to both sides:
-Multiply both sides by 
:
-After you have the value of 
, substitute for 
onto this equation, which is :
-Multiply 
and 
:
-Since both and 
have the same denominator, then add the numerators together. Also, after you have added both numerators together, reduce the fraction to the lowest term:
