Solve, using the substitution method.
2 answers:
14-4x=2y divide both sides by 2 7-2x=y subsitute 7-2x for y 7-2x+2x=7 add like terms 7=7 true therefor these 2 equations are the same and there are an infinite number of equations answer is C
y+2x=7
14-4x=2y
Solve 2x+y=7 for y
Add -2x to both sides
2x+y+-2x=7+-2x
y=-2x+7
Substitute -2x+7 for in -4x+14=2y
-4x=14=2y
-4x+14=2(-2x+7)
Simplify both sides of the equation
-4x+14=-4x+14
Add 4x to both sides
-4x+14+4x=-4x+14+4x
14=14
Add -14 to both sides
14+-14=14+-14
0=0
Infinitely many solutions
Answer : C
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