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Kamila [148]
3 years ago
7

Y= x+14 , x+ 2y= 36, find x and y and show solution pls

Mathematics
2 answers:
Anni [7]3 years ago
5 0

Step-by-step explanation:

given

y = x + 14 \\  y - x = 14 \\  - x + y = 14

as equation 1

and

x + 2y = 36

as equation 2.

We will now use elimination method to solve simultaneous equations.

We will use equation 1 + equation 2 to eliminate x and solve for y.

- x + x + y + 2y = 14 + 36 \\ 0 + 3y = 50 \\ 3y = 50 \\ y = 50 \div 3 \\  =  \frac{50}{3}  \: or \: 16  \frac{2}{3}

Now substitute y into equation 1.

y =  x + 14 \\ x + 14 = y \\ x = y - 14 \\ x = 16\frac{2}{3}  - 14 \\  = 2 \frac{2}{3}

krek1111 [17]3 years ago
3 0

Answer:

Solve the equation for x.

The simplified system is the arbitrary solution of the original system of equations.

Y=x+14

y=18−x2

Reorder 18

and −x2.

y=−x2+18

Y=x+14

Solve the equation for Y.

Y=−2y+50

x=36−2y

Reorder 36

and −2y.

x=−2y+36

Y=−2y+50

Step-by-step explanation:

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