Answer:
x = 1, y = 1
Explanation:
This Question involves the concept of Solving Simulteanous Equations.
Simulteanous Equations
Simulteanous Equations are 2 sets of equation with 2 unknownes to solve. Methods used are Substitution and Elimination methods, use either to solve unless question specify a method.
Example:
2x + 4y = 67
3x + 9y = 90
Application
We are given the 2 equations:
y = 2x - 1 (Equation 1)
2x + y = 3 (Equation 2)
We are asked to use the Substitution Method.
We first substitute Equation 1 to Equation 2 to find the value of x.
2x + (2x - 1) = 3
2x + 2x - 1 = 3
4x - 1 = 3
4x = 3 + 1
4x = 4
x = 4 ÷ 4 = 1
Now we can substitute x into Equation 1 to find the value of y.
y = 2(1) - 1
y = 2 - 1 = 1