Yes there’s 44 remainders :)
Answer: (-2,5)
Step 1: Rewrite equations
-3x+2y=16
x-2y=-12
Step 2: Changing the second equation
With substitution, you have to already have the equation to solve for the specific variable (ex: x=y+1;y=x+1). Since the equation doesn’t give us one, we can flip the second equation to give us this.
Let’s add 2y on both sides.
x-2y=-12
+2y +2y
_________
x=2y-12
Now we have the equation to solve for x!
Step 3: Substituting
Now we need to substitute x into the first equation. Let’s do this now.
-3(2y-12)+2y=16
Step 4: Solving for y
-3(2y-12)+2y=16
*distribute*
-6y+36+2y=16
*combine like terms*
-4y+36=16
*subtract 36 on both sides*
-4y=-20
*divide both numbers by -4*
y=5
This is y! Now we need to solve for x.
Step 5: Solving for x
To find x, let’s just substitute y into the equation and solve
x=2y-12
x=2(5)-12
x=10-12
x=-2
Step 6: Ordered pair
(X,y) —> (-2,5)
This is your answer! Hope this helps comment below for more questions :)
Answer:
answer is in the picture.
