solve the following simultaneous equations
5y=13
x+y/2+30=0
2x-2y=9
2x+2y=9
The first set, I have no idea and the second set I tried but wish to double check.
try to get x or y singled out in the easiest equation (or just pick)
fe for the first one : y = 13/5
fe for the second one : x = (2y+9)/2
then fill in that x or y in the other equation
fe for the first one : x+(13/5)/2 +30 = 0
fe for the second one : 2*((2y+9)/2) + 2y = 9
by this you have 1 equation with 1 unknown, calculate, once you get the final result for x or y, fill it in in the other equation to get y or x
glhf
To solve the first set of simultaneous equations:
1) 5y = 13
First, let’s isolate y by dividing both sides of the equation by 5:
y = 13/5
So, the value of y is 13/5 or 2.6.
Now, let’s move on to the second equation:
2) x + y/2 + 30 = 0
Substitute the value of y we found in the first equation into the second equation:
x + (13/5)/2 + 30 = 0
Simplify the equation:
x + (13/10) + 30 = 0
x + 13/10 + 300/10 = 0
Common denominators:
x + (13 + 300)/10 = 0
x + 313/10 = 0
To solve for x, subtract 313/10 from both sides:
x = -313/10
Therefore, the solution for the first set of simultaneous equations is x = -313/10 and y = 13/5 or 2.6.
For the second set of simultaneous equations:
1) 2x - 2y = 9
2) 2x + 2y = 9
To solve this set, we will use the method of elimination.
Add the two equations together:
(2x - 2y) + (2x + 2y) = 9 + 9
4x = 18
Divide both sides of the equation by 4:
x = 18/4
Simplify the fraction:
x = 9/2 or 4.5
Now substitute the value of x into either of the original equations (let’s use the first equation):
2(9/2) - 2y = 9
9 - 2y = 9
Subtract 9 from both sides of the equation:
-2y = 0
Divide both sides by -2:
y = 0
Therefore, the solution for the second set of simultaneous equations is x = 9/2 or 4.5 and y = 0.
I hope this helps! Let me know if you have any further questions.