Question

Set both given equations equal to zero, then combine them into one standard form equation.

1) 7x + 3 =5 and y - 1 = 6

equation 1: equation 2: combined:

Answer 1

The standard equation is 7x + y = 9

Solution:

Given set of equations are:

7x + 3 = 5 and y - 1 = 6

Set both given equations equal to zero, then combine them into one standard form equation

Set the equations to zero by moving the constant from R.H.S to L.H.S

7x + 3 - 5 = 0

7x - 2 = 0 ---- eqn 1

y - 1 = 6

y - 1 - 6 = 0

y - 7 = 0 ----- eqn 2

We have to combine eqn 1 and eqn 2

7x - 2 + y - 7 = 0

7x + y - 9 = 0

The standard form of an equation is Ax + By = C

In this kind of equation, x and y are variables and A, B, and C are integers

Thus the standard equation is:

7x + y - 9 = 0

7x + y = 9

Thus the standard equation is 7x + y = 9