7 English and 6 Science
There are 7 * 6 ways this can be put together. Which makes 42.
Take a look at the diagram below. There are 6 possible science teachers that the student could choose after choosing E1 which is the first English teacher. Each of the remaining 6 english teachers also allow for 6 science teachers.
6*7 = 42
Answer:
x = -5/3, y = -1 or
Step-by-step explanation:
Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.
Equation 1: 3y - 6x = 7
Equation 2: -4y - 3x = 9
<h3>Step 1: Multiply Equation 2 by -2:</h3>
(-2)(-4y - 3x) = 9 (-2)
8y + 6x = -18
<h3>Step 2: Add "8y + 6x = -18" to Equation 1:</h3>8y + 6x = -18
+ 3y - 6x = 7
11y = -11
<h3>Step 3: Divide both sides by 11 to solve for y:</h3>y = -1
<h3>Step 4: Substitute y = -1 into Equation 2 to solve for x: </h3>-4(-1) - 3x = 9
4 - 3x = 9
<h3>Step 5: Subtract 4 from both sides:</h3>4 - 4 - 3x = 9 - 4
- 3x = 5
<h3>Step 6: Divide both sides by -3 to solve for x:</h3>Verify whether the values for x and y are correct by substituting their values into both equations:
x = -5/3, y = -1
Equation 1: 3y - 6x = 7
-3 + 10 = 7
7 = 7 (True statement).
Equation 2: -4y - 3x = 9
-4(-1) - 3 (-5/3) = 9
4 + 5 = 9
9 = 9 (True statement).
Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.