Y=7-x
x-y=-3
For this one, use substitution -->
x - y = - 3 --> x - (7 - x) = -3 --> x - 7 + x = -3 -->
2x - 7 = -3
2x = 4
x = 2
y = 7 - 2 = 5
x = 2; y = 5.
************************************************************************************************************************************
X+2y=11
x+2y=14
For this one, use elimination -->
Subtract both equations: This yields 0 = -3 [x - x cancel out & 2y - 2y cancels out as well] which does not make sense...therefore, this system has no solution.
Y=7-x
x-y=-3
For this one, use substitution -->
x - y = - 3 --> x - (7 - x) = -3 --> x - 7 + x = -3 -->
2x - 7 = -3
2x = 4
x = 2
y = 7 - 2 = 5
x = 2; y = 5.
************************************************************************************************************************************
X+2y=11
x+2y=14
For this one, use elimination -->
Subtract both equations: This yields 0 = -3 [x - x cancel out & 2y - 2y cancels out as well] which does not make sense...therefore, this system has no solution.