Answer:
<h3>8 and 13</h3>
Step-by-step explanation:
Let the two numbers be x and y
If the two numbers differs by 5, then;
y-x = 5 ...1
x is the smaller
y is the larger
If seven times the smaller plus four times the larger is 108, this is expressed as;
7x + 4y = 108 ... 2
From 1;
y = 5 + x .... 3
Substitute 3 into 2;
From 2;
7x + 4y = 108
7x + 4(5+x) = 108
7x + 20 + 4x = 108
11x + 20 = 108
11x = 108-20
11x = 88
x = 88/11
x = 8
Since y = 5+x
y = 5 + 8
y = 13
hence the numbers are 8 and 13
Answer:

Step-by-step explanation:
5 - 2x^2 = -15
2x^2 = 20
x^2=10
x= 
Answer:
(x, y) = (-4, -15)
Step-by-step explanation:
Perhaps you want the solution to ...
y = 3/4x -12
y = -4x -31
Equating the two expressions for y gives ...
3/4x -12 = -4x -31
3/4x = -4x -19 . . . . . add 12
3x = -16x -76 . . . . . multiply by 4
19x = -76 . . . . . . . . . add 16x
x = -76/19 = -4 . . . . divide by 19
y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y
The solution to this system of equations is ...
(x, y) = (-4, -15)
The answer is D
Hope this helps :)