Use substitution method to solve the following system of equations. y = 2x -3 x + y = 1

Question

Use substitution method to solve the following system of equations.

y = 2x -3

x + y = 1

Answer 1

Substitution means that we take the value of a variable and place it into the other equation:

y = 2x - 3
x + y = 1

 

So in the set of equations above we have a value for y in the former, so we plug it into the latter:

x + (2x - 3) = 1

simplify:

3x - 3 = 1

Ad 3 to both sides:

3x = 4

Divide by 3:

x = 4/3

 

From here, you can solve for y by placing the x-value into the first equation.