Answer:
(3,4) is the solution of both equations.
Step-by-step explanation:
The given equations are :
3x – 2y = 1 ....(1)
4y = 7+3x
4y-3x = 7 .....(2)
Put x = 3 and y = 4 in equation (1).
3(3) – 2(4) = 9-8
= 1
So, (3,4) is the solution of the equation (1).
Again put x = 3 and y = 4 in equation (2).
4(4)-3(3) = 16-9
= 7
Hence, (3,4) is the solution of both equations.
Let the number be x.
then the number is (x + 6)
the difference between their squares is 192
(x + 6)² - x² = 192
expanding we get;
x² + 12x + 36 - x² = 192
12x + 36 = 192
12x = 192 - 36
12x = 156
x = 13
the numbers are 13 and 19.
hope this helps, God bless!
It's 8 because the number in front of the variable is the slope, while the past 30 is the y intercept
