Answer:
y = 2/3x - 5 or in standard form 3y = 2x - 5
Step-by-step explanation:
Remember this fact: Parallel lines have the same slope
Step 1 Solve for y so that the equation is in the slope- intersect form
2x - 3y = 6
-3y = -2x + 6
-3y/-3 = -2x/-3 + 6/-3
y = 2/3 x -2
now we know the slope is 2/3 or
when the equation is in Standard form Ax + By = C you can use this fact: slope = - A/B so the slope = -2/-3 = 2/3
Remember the Parallel lines have the same slope
Find the y-intersect "b" use the slope = 2/3 and point (6, -1)
y = mx + b
-1 = 2/3(6) + b
-1 = 4 + b
-5 = b
Now write the equation of line that is parallel to the given line and passes through point (6, -1)
y = 2/3x - 5 or in standard form 3y = 2x - 5
x+4y=15 2x-y=-15
We have to make x neg.
-2(x) + 4y (-2)= -2(15)
-2x-8y=-30
2x-y=-15
-9y= -45
Solve for y
Y=-45/-9
Y = 5
Substitute your y answer into one original equation to find x .
x+4y=15
X+4(5)=15
X+20=15
X=15-20
X= -5
Answer is (-5,5)
So I looked it up on another math helper app called ( Socratic )and this is what popped up on my screen Simplifying
16 = 17 + -1t
Solving
16 = 17 + -1t
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add 't' to each side of the equation.
16 + t = 17 + -1t + t
Combine like terms: -1t + t = 0
16 + t = 17 + 0
16 + t = 17
Add '-16' to each side of the equation.
16 + -16 + t = 17 + -16
Combine like terms: 16 + -16 = 0
0 + t = 17 + -16
t = 17 + -16
Combine like terms: 17 + -16 = 1
t = 1
Simplifying
t = 1
So I’m pretty sure that’s the answer:) if not I’m truly sorry.
