It is known that the solution of the system of X. y equations 2x + 3Y = k, 3x + 5Y = 56 is - 12, and the value of K is obtained

It is known that the solution of the system of X. y equations 2x + 3Y = k, 3x + 5Y = 56 is - 12, and the value of K is obtained

2x+3y=k -----------(1)
3x+5y=56 -----------(2)
(2) * 2 - (1) * 3: y = 112-3k ------ (3)
(1) * 5 - (2) * 3: x = 5k-168 ------ (4)
By substituting the solutions of X and Y into (3), (4), K can be obtained,
(the solution of your problem x, y is - 12, which is a bit of a problem.)

X + y = 56 5 / 8x + 7 / 4Y = 53 who can help me solve this system of equations

X + y = 56 5 / 8x + 7 / 4Y = 53 who can help me solve this system of equations
x+y=56 (1)
5/8x+7/4y=53
Take eight on both sides
5x+14y=424 (2)
(1)×14-(2)
9x=360
x=40
y=56-x
y=56-40
y=16
I wish you progress in your studies

Solve the equations: xy = 48, x + y = 14

y=14-x
Then xy = 14x-x & # 178; = 48
x²-14x+48=0
(x-8)(x-6)=0
x=8,x=6
y=14-x
therefore
x=8,y=6
x=6,y=8