identify the solutions of the systems equations if any

Question

2x+4y=7     y=5-7x

Answer 1

When you have two equations with two unknowns you can solve for both by substitution.

 

2x+4y=7

y=5-7x

 

Therefore, sub the value of y in equation 2 into the first equation

 

2x+4(5-7x)=7

2x+20-28x=7

-26x=-13

x=1/2 or 0.5

and y can be solved now

y=5-7(0.5)

y=1.5