2x+y=1 9x + 3y = -3 The x-coordinate of the point of intersection is

Mathematics

2 answers:

bija089 [108]3 years ago

5 0

Answer:

Step-by-step explanation:

Hello there!

If we have two equations, two lines and they intersect the key here is to find the value for x, then for y. By doing this we'll find the cartesian point for their common point. The point of intersection.

So Let us set the System of Linear equations. Solving it using the Addition Method.

$\left \{{{2x+y=1}\atop {9x+3y=-3}}\right. \\ \left \{{{2x+y=1}*(-3)\atop {9x+3y=-3}}\right. \\\left \{{{-6x-3y=-3}\atop {9x+3y=-3}}\right. \\\\ 3x :3=-6 :3\\ x=-2\\ \\2(-2)+y=1\\ y=5\\$

So the point of intersection is (-2,5) and x-coordinate is x=-2

Anvisha [2.4K]3 years ago

4 0

Hello :
<span>2x+y=1 ....(1)
9x + 3y = -3....(2)
by (1) : y = -2x+1...(*)
by (2) : 3(3x+y) = - 3
3x+y = -1
y = -3x -1 ....(**)
by (*) (**) :
-2x+1 = -3x -1
- 2x +3x = -1 -1
x =-2 is </span><span>The x-coordinate of the point of intersection</span>

You might be interested in

I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

Jobisdone [24]

Answer:

$\frac{a(450-8a^2)}{4}$

is the volume in terms of side a

Step-by-step explanation:

Given that you I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per square foot, the material for the roof cost $2 per square foot, and the material for the sides cost $2.50 per square foot; and I spent $450 altogether on material for the shed.

Let a be the side of square and h be the height

Total cost of materials = cost for floor + cost for roof + cost for sides

= area of floor (4) + lateral area (2.50)+roof area (2)

$=4a^2+4ah+4a^2\\=8a^2+4ah = 450$ $h = \frac{450-8a^2}{4a}$