Answer:
x = 6 ; y = -9
Step-by-step explanation:
8 x + 2 y = 30 ..........equ No 1
7 x + 2 y = 24......... equ No 2
8 x = 30 - 2y
∴ x =
substituting the value of x in equ No 2
7
+ 2 y = 24
7 ( 30 -2 y) + 2 y × 8 = 24 × 8
7 × 30 - 14 y + 16 y = 192
210 + 2 y = 192
2 y = 192 - 210
2 y = - 18
∴ y = - 9
put y = -9 , 8 x = 30 - 2 y
8 x = 30 - 2 ( -9)
8 x = 30 - ( -18)
8 x = 48
∴ x = 6
x = 6 ; y = -9
I believe the answer is the last on KJM and KJH
Answer:
Part 1) The product of 3 and 2y-4x=8 is 
Part 2) The original equation in slope intercept form is 
Part 3) The new equation in slope intercept form is 
Step-by-step explanation:
we have

step 1
Find out the product of 3 and 2y-4x=8
Multiply both sides by 3

Apply distributive property both sides

step 2
Find out the original equation in slope intercept form
The equation of the line in slope intercept form is

we have

Solve for y
That means ----> Isolate the variable y
Adds 4x both sides

Divide by 2 both sides

Simplify

step 3
Find out the new equation in slope intercept form
The equation of the line in slope intercept form is

we have

Solve for y
That means ----> Isolate the variable y
Adds 12x both sides

Divide by 6 both sides

Simplify

The distance from Dan's house to Samuel's house is 4 km
The distance from Dan to Samuel house, Dan to Cindy house and Samuel to Cindy house forms a right angled triangle.
Distance from Dan to Samuel house = x, Distance from Dan to Cindy house = 3 km and Distance from Cindy to Samuel house = 5 km
Pythagoras theorem shows the relationship between the lengths of a right angled triangle.
Using Pythagoras theorem:
5² = x² + 3²
25 = x² + 9
x² = 16
x = 4 km
Hence the distance from Dans house to Samuel's house is 4 km
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