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)
