Solve the system using substitution:?

Question

Solve the system using substitution:
3x + 4y = -16
y = 3x + 11

Answer 1

3x + 4(3x+11)=-16 substitute 2 in 1
3x + 12x +44 = -16
15x= -16-44
x= -60/5
x= -4

x= -4 substitute in 2
y= 3(-4)+11
y= -12+11
y= -1

Answer 2

Not difficult:

3x + 4y = -16, 3x + 11 = y... or;
3x - y = -11

Subtract out the second equation from the first.

5y = -5
y = -1

And now solve for x:

3x + 4y = -16, 3x + 11 = y
3x + (-4) = -16, 3x + 11 = (-1)
3x = -12, 3x = -12
x = -4, x = -4

y = -1 and x = -4

No mistaking it from the above. It's an ironclad proof!

Answer 3

3x + 4y = -16
y = 3x + 11

So, insert value of y
3x + 4(3x+11)= -16
3x + 12x + 44= -16
15x = -16 - 44
15x = -60
x = -4

So, insert value of x
y= 3(-4)+11
y= -12+11
y= -1
double check on other equation
3(-4) + 4y = -16
-12 + 4y = -16
4y = -4
y = -1

we verified the answer: (-4, -1)

Answer 4

3x + 4y = -16
y = 3x + 11

3x + 4(3x + 11) = -16
3x + 12x + 44 = -16
15x + 44 = -16
15x = -60
x = -4

y = 3(-4) + 11
y = -12 + 11
y = -1

(-4,-1)

Answer 5

3x+4(3x+11) = -16
3x+12x+44 = -16
15x= -60
x= -4

y=3x +11
-12+11
-1

Answer 6

3x + 4(3x + 11) = -16

15x + 44 = -16
15x = -60

x = -4

Answer 7

I think the answer is x = -4 and y = -1

Answer 8

x - 2y = -a million x = 2y -a million --> now replace x = 2 (-x - 7) -a million x = -2x -14 -a million x = -2x -15 3x = -15 x = -5 --> now insert to discover y x -2y = -a million -5 -2y = -a million -2y = -a million +5 -2y = 4 -->divide by utilizing the coefficient -2 y = -2 answer for equipment (-5,-2)

Answer 9

y=-1 substitute y in eq 1
x=-4

Answer 10

x = -4
y = -1