Steps:
1. Multiply the first line by 3 and the second by 2
3(3x + 2y= 4)
2(8x -3y=-6)
2. New lines are
9x + 6y= 12
16x + -6y=-12
3. Now add/subtract them
25x + 0= 0
25x=0
4. Divide by 25
X=0
5. To find y, substitute the 0 in the x in one of the equations
9x + 6y= 12
9(0) + 6y= 12
6y= 12
6. Divide by 6, your Y=2
7. X=0, Y=2
4x-2y=8 ==> y=2x-4 (to better show you what I mean)
2 lines are parallel if they have the same slope (m the coefficient of x).
So y=mx + b // y =2x-4 means m=2 & y=mx + b, becomes y=2x + b.
Moreover they are telling us that this function passes by (-2,1), where -2 represents x & 1, represents y. To calculate b , replace x & y by their values:
y=2x+b ==> 1 = 2(- 2) + b==> 1 = -4 + b ==> b= 5. Finally the equation is
y=-2x+5
3/2x + 1/5x = 11/6x - 2/15....to get rid of fractions, multiply by common denominator, which is 30.
45x + 6x = 55x - 4
51x = 55x - 4
51x - 55x = -4
-4x = -4
x = -4/-4
x = 1
Answer:
x = 6
Step-by-step explanation:
Find the equation of the line
y = mx + b
Use the slope given 3 and the x of 4 and the y of 11 from the point given (4,11)
11 = 3(4) +b Solve for y
11 = 12 + b Subtract 12 from both sides
-1 = b
y = 3x -1 This is the equation of the line. Substitute in 17 for y and solve for x
17 = 3x -1 Add 1 to both sides
18 = 3x Divide both sides by 3
6 = x
