Answer:
The solution to the given system of equations is:
x = 2
y = 7
Explanation:
Given the system of equations:
y = 3x + 1 ..................................................................(1)
y = 5x - 3 ..................................................................(2)
To solve this by substitution,
Substitute the expression for y in (2) into (1)
5x - 3 = 3x + 1
Collect like terms
5x - 3x = 1 + 3
2x = 4
Divide both sides by 2
x = 4/2 = 2
Substitute x by 2 in (1)
y = 3(2) + 1
= 6 + 1
= 7
