The equations are .
Equation (1)
Equation (2)
Since the equation 1 has fractions multiply the equation by 3 to eliminate the fractions. Solve the second equation for x.
\Distribute terms using distributive property: .
(Cancel common terms)
(Multiply:
)
Solve the equation for x.
\Apply addition property of equality: If a = b then a + b = b + a.
\ (Add 3y to each side) \ \
(Apply additive inverse property:
)
(Apply additive identity property:
)
Substitute in equation (2).
(Apply additive inverse property:
)
(Apply additive identity property:
)
The statement is true. So, there are infinitely many solutions.
There are infinitely many solutions.