Answer:
x= 2
y= -1
Step-by-step explanation:
Simultanous equation(elimination method)
STEP 1: multiply the number near x with the opposite equation.
in this case in equation 1, three is near x so u multiply it with the second equation.
2(3x-2y=4)
3(2x+3y=7)
you get 6x-4y=8
6x+9y=21
STEP 2: Change the sign ONLY IN SECOND equation to its opposite sign
6x-4y=8 <-------- 1st equation
6x+9y=21 <-------- 2nd equation
SO WE CHANGE THE SIGN IN SECOND EQUATION TO: -6x-9y= -21
STEP 3: Now do the elimination part and calculation
+6x-4y=8
-6x-9y= -21
___________
0x-13y= 13
NOTE: X IS ALWAYS CANCELLED IF ITS NOT THERE'S PROBABLY A MISTAKE
STEP 4: Solve for y
now that x is cancelled we have to solve for y.. to do this take the eliminated equation in step 3 and solve for y
-13y= 13
y= 13/-13
y= -1
STEP 5: We have officially solved for y.. now we need to bother about x.. to solve for x take the first original equation IN THE QUESTION and substitiute( replace) y value in equation
ORIGINAL EQUATION: 3x-2y=4
3x-2(-1)=4
3x-2=4
x= 6/3
x= 2
NOTE: YOU CAN ALSO TAKE THE SECOND EQUATION BUT ITS EASIER WHEN YOU TAKE THE FIRST ONE. EITHER WAY YOU MUST GET THE SAME ANSWER
