Respuesta :
The solution to given system of linear equations is x = 4 and y = 4
Solution:
Given is a system of linear equation
[tex]4x - 2y = 8 ---------- eqn 1\\\\y = \frac{3}{2}x - 2 ---------- eqn 2[/tex]
We have to solve the system of linear equations. We can solve the system by substitution method
Substitute eqn 2 in eqn 1
[tex]4x - 2(\frac{3}{2}x - 2) = 8[/tex]
Simplify the above equation
[tex]4x - 2(\frac{3x-4}{2}) = 8\\\\4x - (3x-4) = 8\\\\\text{Remove the parenthesis and solve }\\\\4x - 3x + 4 = 8\\\\x = 8 - 4\\\\x = 4[/tex]
Substitute x = 4 in eqn 2 to get value of y
[tex]y = \frac{3}{2} \times 4 -2\\\\y = 6 - 2\\\\y = 4[/tex]
Thus solution is x = 4 and y = 4
