The point of intersection of the two lines is at (1,-1)
<h3>System of equation</h3>
The given system of expression is shown below
x - 2y = 3
5x + 3y = 2
The solution to the system of equation is the point of intersection
From equation 1
x = 3 + 2y
Substitute into 2
5(3+2y) + 3y = 2
15 +10y + 3y = 2
13y = -13
y = -1
Substitute y = -1 into 3
x = 3 + 2y
x = 3+(-2)
x = 1
Hence the point of intersection of the two lines is at (1,-1)
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Answer:
8 square units and
square units
Step-by-step explanation:
The area of the triangle ABC is 24 square units.
1. Triangles ABC and FBG are similar with scale factor
then

2. Triangles ABC and DBE are similar with scale factor
then

3. Thus, the area of the quadrilateral DFGE is

and the area of the quadrilateral ADEC is

Doesn't play sport
Plays sport |
| |
V V
Takes language | 21 | 17 |
-----------------
Doesn't take language | 12 | 4 |
Answer:
10,000
Step-by-step explanation:
There are 10,000 possible combinations that the digits 0-9 can be arranged into to form a four-digit code.
The answer is x=2
show you step-by-step
step 1:simplify both sides of the equation.
(4)(x)+(4)(2)=6x+4
4x+8=6x+4
step 2:subtract 6x from both sides.
4x+8-6x=6x+4-6x
-2x+8=4
step 3: subtract 8 from both sides
-2x+8-8=4-8
-2x=-4
step 4: divide both sides by -2
-2x/-2= -4/-2
x=2
that helps you