Question

Use substitution to solve the system of equations Y+x=3 Y=1.5x+1

Answer 1

The solution to given system of equation is (x, y) = (0.8, 2.2)

Solution:

Given system of equations are:

y + x = 3 --------- eqn 1

y = 1.5x + 1 ---------- eqn 2

We have to solve the above system of equations by substitution method

Substitute eqn 2 in eqn 1

1.5x + 1 + x = 3

Combine the like terms

2.5x + 1 = 3

Move the constants to Right hand side of equation

2.5x = 3 - 1

2.5x = 2

x = 0.8

Substitute x = 0.8 in eqn 2

y = 1.5(0.8) + 1

y = 1.2 + 1

y = 2.2

Thus the solution to given system of equation is (x, y) = (0.8, 2.2)