Solve the following system:

y = x + 3
4x + y = 18

(6, 3)
(3, 6)
(−3, 6)
(3, −6)

Answer

(3,6)

Step-by-step explanation:

4x+y=18

( y=18-4x)

(y=3 +x)substract the equations

0=15-5x

5x=15

X=3

Y=x+3

Y=3+3

Y=6

The solution to the system of equation is (3, 6)

Step-by-step explanation:

To solve the  system of the equation given, we will follow the steps below;

y = x + 3   (1)

4x + y = 18 (2)

We can rearrange equation (2) by simply subtracting 4x from both-side of the equation

4x - 4x + y = -4x + 18

y = -4x + 18 (3)

Substitute  equation (1) in equation (3)

x + 3 = -4x + 18

collect like terms

x + 4x = 18 - 3

5x = 15

Divide both-side of the equation by 5

5x/5  = 15/5

x = 3

Substitute  for x = 3 in equation (1)

y = x + 3

y = 3 + 3

y = 6

x= 3  and y = 6

(x,y)

(3, 6)

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

c

step-by-step explanation: