When two equations have same slope and their y-intercept is also the same, they are representing the line. In this case one equation is obtained by multiplying the other equation by some constant.
If we plot the graph of such equations they will be lie on each other as they are representing the same line. So each point on that line will satisfy both the given equations so we can say that such equations have infinite number of solutions.
Consider an example:
Equation 1: 2x + y = 4
Equation 2: 4x + 2y = 8
If you observe the two equation, you will see that second equation is obtained by multiplying first equation by 2. If we write them in slope intercept form, we'll have the same result for both as shown below:
Slope intercept form of Equation 1: y = -2x + 4
Slope intercept form of Equation 2: 2y = -4x + 8 , ⇒ y = -2x + 4
Both Equations have same slope and same y-intercept. Any point which satisfy Equation 1 will also satisfy Equation 2. So we can conclude that two linear equations with same slope and same y-intercept will have an infinite number of solutions.
Therefore the correct answer is option B.
if there is more than 1 x u add the exes but you dont add the exes with the other numbers so in this case you would do 7 x 2/3 and you would leave the x alone
K = 19. When you follow order of operations you start with Parenthesis.
So, plug in 19 first. (19+3) = 22 and (19+1)=20.
From there, you multiply the number outside the parenthesis.
22 * 4 = 88 + 2 = 90
Do the math on the other side now.
20 x 4.5 = 90
Considering they both equal 90, your problem is complete, and your answer for K is 19.
I hope this helps (:
How many of a nomial do you want just 2 or 3 or 4 etc.
X = 8
x = 12
y = 6
Explanation:
The first two lines are both horizontal and parallel, and they never touch, going on forever.
The third line is straight and vertical, intersecting with both parallel lines at a 90-degree angle, making it perpendicular.
The same would occur if you made the top two into y equations and the bottom one an x equation.
I hope this helps!