7x + 9y = - 27_________eq1
3x - y = 3__________eq2
Multiply eq 2 by 9 and then add the resulting eq with eq1.
eq2 x 9 gives us 27x - 9y = 27___________eq3
add eq3 with eq1 we get.
34x = 0.
where x=0/34
x=0.
substitute x into any of the above equations to get y.
substitute x into eq1. we get:
7(0) + 9y =-27
9y = -27
y= -27/9
y = -3.
They are equal so...
15x+2 = 9x+20
15x-9x = 20-2
6x =18
x = 18/6 = 3
x = 3
Answer: y= -x-5
Step 1: Determine which equation to change
Since we will be using the substitution method, we will need to substitute y from the bottom equation with information from the top equation. This will be the equation we change.
Step 2: Change the equation
Let’s rewrite the equation we will be working with.
3x+3y= -15
Our goal will be to get y alone on the left side. To start, let’s subtract 3x from both sides, leaving only 3y on the left side.
3x+3y= -15
3y= -3x-15
Now we need to get y completely alone by eliminating the coefficient of 3. Let’s do this by dividing each term by 3.
3y= -3x-15
y= -x-5
This is your answer. Hope this helps! Comment below for more questions.
Answer:
y=-100x+700
Step-by-step explanation:
Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100
So your slope would be m=-100
To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:
y=mx+b (Slope-intercept form)
y=-100x+b (Equation so far)
200=-100(5)+b [Plugging in (5,200)]
200=-500+b
700=b
So since the y-intercept is b=700, then the equation of the line is y=-100x+700
