Solve using the substitution method
Y+2x=7
14-4x=2y

A the solution is (1,5)
B the solution is (21,0)
C there an infinite number of solutions
D there is no solution



Answer :

14-4x=2y   divide 2 to both sides
 VVVVV
7-2x=y    you will need this on the next step
-----------------------------------------------------
y+2x=7
y=7-2x
(7-2x)+2x=7 ------->  7-2x+2x=7
                               7=7
The answer is C.

Since the value on both sides are the same, hence there are infinite number of solution for the system of equation

System of equations

Given the system of equations expressed as:

Y+2x=7

14-4x=2y

Using the substitution method.

From equation 1, y = 7 - 2x

Substitute into equation 2

14-4x = 2(7 - 2x)

Expand

14 - 4x = 14 - 4x

0x = 0

Since the value on both sides are the same, hence there are infinite number of solution for the system of equation

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