Step-by-step explanation:
Given: 2x-6=5x+18
step 2 : the subtraction property of equality
step 4: the addition propert of equality
step 5: the division propert of equality
Answer:
Question 13: 90, Question 14: y = 
, Question 15: x = 
, Question 16: y = 
.
Step-by-step explanation:
There's more than one way to do this problem.
Try this: Mult. both 109 and 5 by 2, obtaining 218 and 10.
What is 218 div. by 10? Do this in your head.
Suppose we wish to determine whether or not two given polynomials with complex coefficients have a common root. Given two first-degree polynomials a0 + a1x and b0 + b1x, we seek a single value of x such that
Solving each of these equations for x we get x = -a0/a1 and x = -b0/b1 respectively, so in order for both equations to be satisfied simultaneously we must have a0/a1 = b0/b1, which can also be written as a0b1 - a1b0 = 0. Formally we can regard this system as two linear equations in the two quantities x0 and x1, and write them in matrix form as
Hence a non-trivial solution requires the vanishing of the determinant of the coefficient matrix, which again gives a0b1 - a1b0 = 0.
Now consider two polynomials of degree 2. In this case we seek a single value of x such that
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