So let’s make the smaller number x and the larger one y....
Set up your equation by following the words signaling mathematical operations from the question.
y = 8 + 4x
y + 4x = 40
Now let’s bring all variables to one side and solve the system if equations with elimination...
y - 4x = 8
y + 4x = 40
Add the equations:
2y = 48
y = 24
Plug the y-value into one of the original equations:
24 = 8 + 4x
16 = 4x
4x = 16
x = 4
And there you have it! The smaller number [x] is 4 and the larger number [y] is 24.
The pyhtagorean states that to find c, use the eqaution,
.
Substitute 1 for a and 20 for b;
c^2=1+400
c^2=401
c=
which is about 20.02
Hope this helps.
Answer:
not the matrix equation but this works
x=4, y=1
Step-by-step explanation:
2x-4y=4 (original equation)
2(3x+2y=14) (do this so that you can subtract or add- it's still equal)
2x-4y=4 (original equation)
6x+4y=28 (after multiplying)
8x=32 (add 2 equations together to cancel out 4y, can also subtract)
x=4 (division)
2(4)-4y=4 (substitution)
8-4y=4 (multiplication)
4y=4 (addition/subtraction)
y=1 (division)
Dividing ...... Hope this slid correctly
