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:
Step-by-step explanation:
given
[tex]y = x + 14 \\ y - x = 14 \\ - x + y = 14[/tex]
as equation 1
and
[tex]x + 2y = 36[/tex]
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.
[tex] - x + x + y + 2y = 14 + 36 \\ 0 + 3y = 50 \\ 3y = 50 \\ y = 50 \div 3 \\ = \frac{50}{3} \: or \: 16 \frac{2}{3} [/tex]
Now substitute y into equation 1.
[tex]y = x + 14 \\ x + 14 = y \\ x = y - 14 \\ x = 16\frac{2}{3} - 14 \\ = 2 \frac{2}{3} [/tex]
