The given equations y = -2x + 4 and 7y = -14x + 28 has infinitely many solutions
Solution:
Given that two equations are y = -2x + 4 and 7y = -14x + 28
We have to find number of solutions for this set of equations
Let us first solve the given equations
y = -2x + 4 ---- eqn 1
7y = -14x + 28 ---- eqn 2
Substitute eqn 1 into eqn 2
7(-2x + 4) = -14x + 28
-14x + 28 = -14x + 28
0 = 0
Thus means given equations has infinitely many solutions
The two lines may have an infinite number of intersecting points (infinite solutions).