Answer:
(x, y) = (-5, 18)
Step-by-step explanation:
You have done the first two steps.
<h3>3.</h3>
7x +2(3 -3x) = 1 . . . . . equation with y substituted
7x +6 -6x = 1 . . . . . . . eliminate parentheses using the distributive property
x = -5 . . . . . . . . . . . . . subtract 6 from both sides, collect terms
<h3>4.</h3>
y = 3 -3(-5) . . . . . . . . use the substitution equation to find y
y = 18
The solution is (x, y) = (-5, 18).
Answer:
x/2 > 5
Step-by-step explanation:
Quotient means division
x/2
is more than means greater
x/2 > 5
Answer:
(-1, -1) Let me know if the explanation didn't make sense.
Step-by-step explanation:
If we graph the three points we can see what looks like a quadrilateral's upper right portion, so we need a point in the lower left. This means M is only connected to N here and P is only connected to N. So we want to find the slope of these two lines.
MN is easy since their y values are the same, the slope is 0.
NP we just use the slope formula so (y2-y1)/(x2-x1) = (-1-3)/(5-4) = -4.
So now we want a line from point M with a slope of -4 to intersect with a line from point P with a slope of 0. To find these lines weuse point slope form for those two points. The formula for point slope form is y - y1 = m(x-x1)
y-3 = -4(x+2) -> y = -4x-5
y+1 = 0(x-5) -> y = -1
So now we want these two to intersect. We just set them equal to each other.
-1 = -4x -5 -> -1 = x
So this gives us our x value. Now we can plug that into either function to find the y value. This is super easy of we use y = -1 because all y values in this are -1, so the point Q is (-1, -1)