Substitute the value of y from the first equation into the second equation:
4x + x - 2 = 55x - 2 = 55x = 7x = 7/5
Now substitute the value of x back into the first equation to find y:
y = 7/5 - 2y = 7/5 - 10/5y = -3/5
Therefore, the solution to the first system of equations is x = 7/5 and y = -3/5.
Substitute the value of x from the first equation into the second equation:
-2y + y = 4-y = 4y = -4
Now substitute the value of y back into the first equation to find x:
x = -2(-4)x = 8
Therefore, the solution to the second system of equations is x = 8 and y = -4.
x + 2(4x) = 3x + 8x = 39x = 3x = 1/3
y = 4(1/3)y = 4/3
Therefore, the solution to the third system of equations is x = 1/3 and y = 4/3.
4x + y = 5
Substitute the value of y from the first equation into the second equation:
4x + x - 2 = 5
5x - 2 = 5
5x = 7
x = 7/5
Now substitute the value of x back into the first equation to find y:
y = 7/5 - 2
y = 7/5 - 10/5
y = -3/5
Therefore, the solution to the first system of equations is x = 7/5 and y = -3/5.
x = -2yx + y = 4
Substitute the value of x from the first equation into the second equation:
-2y + y = 4
-y = 4
y = -4
Now substitute the value of y back into the first equation to find x:
x = -2(-4)
x = 8
Therefore, the solution to the second system of equations is x = 8 and y = -4.
y = 4xx + 2y = 3
Substitute the value of y from the first equation into the second equation:
x + 2(4x) = 3
x + 8x = 3
9x = 3
x = 1/3
Now substitute the value of x back into the first equation to find y:
y = 4(1/3)
y = 4/3
Therefore, the solution to the third system of equations is x = 1/3 and y = 4/3.