Hi Mark
3x+y=4
2x+y=5
Solve 3x+y=4 for y
Add -3x to both sides
3x+y-3x=4-3x
y=-3x+4
Substitute -3x+4 for y in 2x+y=5
2x+y=5
2x-3x+4=5
Simplify both sides of the equation
-x+4=5
Add -4 to both sides
-x+4-4=5-4
-x=1
Divide both sides by -1
-x/-1= 1/-1
x=-1
Substitute -1 for x in y=-3x+4
y=-3x+4
y=(-3)(-1)+4
Simplify both sides of the equation
y=7
Answer: (-1,7)
I hope that's help ! Have a great weekend :)
Point Slope Form of a Line: y - y₁ = m(x - x₁)
Slope Formula:
y₂ - y₁ 4 - (-1) 5 The slope is 5/6.
------------- = -------------- = ------
x₂ - x₁ 8 - 2 6
(2, -1) & (8,4)
x₁ y₁ x₂ y₂
Using all of the information above...
y + 1 = 5/6(x - 2) is your equation in point slope form.
Steps for rewriting this equation in standard form:
Standard Form of a linear equation: ax + by = c
1). Put the equation from PS form into Slope Intercept Form, which is y=mx+b
y + 1 = 5/6(x - 2)
y + 1 = 5/6x - 5/3
- 1 - 1
------------------------
y = 5/6x - 8/3
2). Put the equation from Slope Intercept Form into Standard Form.
y = 5/6x - 8/3
- 5/6x - 5/6x
______________________
(-1) -5/6x + y(-1) = -8/3(-1)
5/6x - y = 8/3
The equation in standard form is 5/6x - y = 8/3.
I hope this helps you!
Thank you sooo I need this your a true life saver !
The value of 5 in 56 is 50.
