Solving systems of Equations
Solve the system of equations:
3x-4y=8
18x-5y=10
x=0
y=-2
solve for x and y through isolation and plug the values to the equation
Solve this system of equations by using a Matrice
x - y = -5
x + y = 25
(10,15)
Make 2 matrices and solve.
1st matrice should look like this
1-1
1+1
2nd should look like this
-5
25
Describe the transformation:
y = - |x + 2|
reflected over the x-axis and shifted left 2
when there is a negative in front of the absolute value then the function is reflected, and when the x varible has a number added to it, it shifts left
Solve the equation
|a + 3|= 36
a= 33 or -39
make 2 equations and solve for both of your answers.
Equation 1: |a + 3| = 36
Equation 2: |a + 3| = -36
Solve the inequality
| x + 1 | < 0
no solution
there is no solution
Solve this system of equations
-6y+11x=-36
-4y+7x=-24
x=0
y=6
solve for x and y through isolation and plug the values to the equation
Solve this system of equations using a matrix.
-3x + 4y = 12
3x - 6y = 18
(-24,-15)
Make 2 matrices and solve.
1st matrice should look like this:
-3+4
3-6
2nd should look like this:
12
18
Describe the transformation:
y = 3/2 |x + 4|
stretched by a factor of 3/2 and shifted left 4
when there is a number in front of the absolute value then the function is stretched or compressed, and when the x varible has a number added to it, it shifts left
Solve the equation
|6 - p| = 0
p=6
0 cannot be changed into a negative so you will only have one answer
Solve the inequality
-2| 3x + 1 | < 10
infinite solutions
since the right side is positive and the left side is always negative then there are infinite solutions
Solve the system of equations
-9y+4x-11=0
-3y+10x+31=0
x=-4
y=-3
solve for x and y through isolation and plug the values to the equation
Solve this system of equations using a matrice.
-8x - 4y=-1
16x + 8y =-24
No solution
Describe the transformation:
y = 5/2 |x - 7|
stretched by a factor of 5/2 and shifted right 7
when there is a number in front of the absolute value then the function is stretched or compressed, and when the x varible has a number subtracted from it, it shifts right
Solve the equation
10|7x + 3| = 10
x=-2/7 or 4/7
Simplify the equation by dividing 10 by each side, which gives you |7x + 3| = 1 then split that equation into two and solve
Equation 1: |7x + 3| = 1
Equation 2: |7x + 3| = -1
Write the statement as an inequality:
The ice cream shop expects aplicants to number within 25 of last year's 87 aplicants
| x - 87 | ≤ 25
87 is in the absolute value because that is the baseline for the aplicants. The 25 represents what the ice cream shop expects what this years applicant numbers will be within compared to last years number.