22 I think it’s probably wrong but I tried
Any line can be expressed in the form y=mx+b where m is the slope and b is y intercept.
Two lines can either be parallel ,overlap or meet at one point .Let us look at different cases :
1)When two lines are parallel they do not intersect at any point and hence the system of equations have no solution.
2) When two lines overlap each other then the two lines touch each other at infinite number of points and we say the system of equations have infinite solutions.
3) When two lines intersect each other at one point we say the system of equation has one solution.
Part A:
The given lines are intersecting at one point so we have one solution.
Part B:
The point of intersection is the solution to the system of equations .In the graph the point of intersection of the lines is (4,4)
Solution is (4,4)
22 I think If I worked it out right
Answer:
C: Xint = 2, Yint. = -7
Step-by-step explanation:
Given the equation, 2x - 7y = -14:
The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0. To solve for the y-intercept, set x = 0:
2x - 7y = -14
2(0) - 7y = -14
0 - 7y = -14
-7y = -14
Divide both sides by -7 to solve for y:
-7y/-7 = -14/-7
y = 2
Therefore, the y-intercept = 2.
Next, the x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (a, 0). To find the x-intercept, set y = 0 and substitute into the given equation:
2x - 7y = -14
2x - 7(0) = -14
2x - 0 = -14
2x = -14
Divide both sides by 2 to solve for x:
2x/2 = -14/2
x = -7
x-intercept = -7.
Therefore, the correct answer is C: Xint = 2, Yint. = -7
Please mark my answers as the Brainliest if you find this helpful :)
To change 5/6 to a fraction with a denominator of 12, you need to do one step. Since 12 is a multiple of 6 (meaning that it can be multiplied by 6 and another number), you multiply 5/6 by 2 to get 10/12. 10/12 is your answer.
